R. K. Mohanty

Publication Activity (10 Years)

Years Active: 1990-2024
Publications (10 Years): 21

Top Topics

Numerical Solution

Partial Differential Equations

Top Venues

Appl. Math. Comput.

Comput. Math. Appl.

Publications

Deepti Kaur, R. K. Mohanty
High-order half-step compact numerical approximation for fourth-order parabolic PDEs. Numer. Algorithms 95 (3) (2024)
R. K. Mohanty, Niranjan
Nine-point compact sixth-order approximation for two-dimensional nonlinear elliptic partial differential equations: Application to bi- and tri-harmonic boundary value problems. Comput. Math. Appl. 152 (2023)
R. K. Mohanty, Bishnu Pada Ghosh, Gunjan Khurana
High-precision numerical method for 1D quasilinear hyperbolic equations on a time-graded mesh: application to Telegraph model equation. Soft Comput. 27 (10) (2023)
R. K. Mohanty, Bishnu Pada Ghosh
A high-resolution bi-parametric unconditionally stable ADI method for 2D uniform transmission line equation. Comput. Appl. Math. 41 (7) (2022)
Nikita Setia, R. K. Mohanty
A high accuracy variable mesh numerical approximation for two point nonlinear BVPs with mixed boundary conditions. Soft Comput. 26 (19) (2022)
R. K. Mohanty, Bishnu Pada Ghosh, Urvashi Arora
High precision implicit method for 3D quasilinear hyperbolic equations on a dissimilar domain: Application to 3D telegraphic equation. Comput. Math. Appl. 122 (2022)
R. K. Mohanty, Sachin Sharma
A new high-accuracy method based on off-step cubic polynomial approximations for the solution of coupled Burgers' equations and Burgers-Huxley equation. Eng. Comput. 37 (4) (2021)
Ishaani Priyadarshini, R. K. Mohanty
High-resolution half-step compact numerical approximation for 2D quasilinear elliptic equations in vector form and the estimates of normal derivatives on an irrational domain. Soft Comput. 25 (15) (2021)
R. K. Mohanty, Bishnu Pada Ghosh, Sean McKee
On the absolute stability of a two-step third order method on a graded mesh for an initial-value problem. Comput. Appl. Math. 40 (1) (2021)
R. K. Mohanty, Sachin Sharma
A new high-resolution two-level implicit method based on non-polynomial spline in tension approximations for time-dependent quasi-linear biharmonic equations with engineering applications. Eng. Comput. 37 (3) (2021)
Nikita Setia, R. K. Mohanty
A third-order finite difference method on a quasi-variable mesh for nonlinear two point boundary value problems with Robin boundary conditions. Soft Comput. 25 (20) (2021)
R. K. Mohanty, Bishnu Pada Ghosh
Absolute stability of an implicit method based on third-order off-step discretization for the initial-value problem on a graded mesh. Eng. Comput. 37 (2) (2021)
R. K. Mohanty, Sachin Sharma
A new two-level implicit scheme based on cubic spline approximations for the 1D time-dependent quasilinear biharmonic problems. Eng. Comput. 36 (4) (2020)
Deepti Kaur, R. K. Mohanty
Highly accurate compact difference scheme for fourth order parabolic equation with Dirichlet and Neumann boundary conditions: Application to good Boussinesq equation. Appl. Math. Comput. 378 (2020)
Vikendra Singh, Siraj-ul-Islam, R. K. Mohanty
Local meshless method for convection dominated steady and unsteady partial differential equations. Eng. Comput. 35 (3) (2019)
R. K. Mohanty, Deepti Kaur, Swarn Singh
A class of two- and three-level implicit methods of order two in time and four in space based on half-step discretization for two-dimensional fourth order quasi-linear parabolic equations. Appl. Math. Comput. 352 (2019)
R. K. Mohanty, Deepti Kaur
Numerov type variable mesh approximations for 1D unsteady quasi-linear biharmonic problem: application to Kuramoto-Sivashinsky equation. Numer. Algorithms 74 (2) (2017)
R. K. Mohanty, Sean McKee, Deepti Kaur
A class of two-level implicit unconditionally stable methods for a fourth order parabolic equation. Appl. Math. Comput. 309 (2017)
R. K. Mohanty, Deepti Kaur
High accuracy implicit variable mesh methods for numerical study of special types of fourth order non-linear parabolic equations. Appl. Math. Comput. 273 (2016)
M. K. Jain, Sachin Sharma, R. K. Mohanty
High accuracy variable mesh method for nonlinear two-point boundary value problems in divergence form. Appl. Math. Comput. 273 (2016)
Jyoti Talwar, R. K. Mohanty, Swarn Singh
A new algorithm based on spline in tension approximation for 1D quasi-linear parabolic equations on a variable mesh. Int. J. Comput. Math. 93 (10) (2016)
R. K. Mohanty, Sean McKee
On the stability of two new two-step explicit methods for the numerical integration of second order initial value problem on a variable mesh. Appl. Math. Lett. 45 (2015)
R. K. Mohanty, Weizhong Dai, Fei Han
A new high accuracy method for two-dimensional biharmonic equation with nonlinear third derivative terms: application to Navier-Stokes equations of motion. Int. J. Comput. Math. 92 (8) (2015)
R. K. Mohanty, Weizhong Dai, Fei Han
Compact operator method of accuracy two in time and four in space for the numerical solution of coupled viscous Burgers' equations. Appl. Math. Comput. 256 (2015)
R. K. Mohanty, Nikita Setia
A new high accuracy two-level implicit off-step discretization for the system of three space dimensional quasi-linear parabolic partial differential equations. Comput. Math. Appl. 69 (10) (2015)
R. K. Mohanty, Weizhong Dai, Don Liu
Operator compact method of accuracy two in time and four in space for the solution of time dependent Burgers-Huxley equation. Numer. Algorithms 70 (3) (2015)
Jyoti Talwar, R. K. Mohanty, Swarn Singh
A new spline in compression approximation for one space dimensional quasilinear parabolic equations on a variable mesh. Appl. Math. Comput. 260 (2015)
Jyoti Talwar, R. K. Mohanty
A new modified group explicit iterative method for the numerical solution of time dependent viscous Burgers' equation. Int. J. Model. Simul. Sci. Comput. 5 (2) (2014)
R. K. Mohanty, Ravindra Kumar
A new fast algorithm based on half-step discretization for one space dimensional quasilinear hyperbolic equations. Appl. Math. Comput. 244 (2014)
R. K. Mohanty, Suruchi Singh, Swarn Singh
A new high order space derivative discretization for 3D quasi-linear hyperbolic partial differential equations. Appl. Math. Comput. 232 (2014)
R. K. Mohanty, Venu Gopal
High accuracy non-polynomial spline in compression method for one-space dimensional quasi-linear hyperbolic equations with significant first order space derivative term. Appl. Math. Comput. 238 (2014)
Venu Gopal, R. K. Mohanty, Navnit Jha
) for the Solution of 1D Wave Equation in Polar Coordinates. Adv. Numer. Anal. 2013 (2013)
Navnit Jha, R. K. Mohanty, Vinod Chauhan
Geometric Mesh Three-Point Discretization for Fourth-Order Nonlinear Singular Differential Equations in Polar System. Adv. Numer. Anal. 2013 (2013)
R. K. Mohanty, Nikita Setia
A new high accuracy two-level implicit off-step discretization for the system of two space dimensional quasi-linear parabolic partial differential equations. Appl. Math. Comput. 219 (5) (2012)
R. K. Mohanty, Jyoti Talwar
A combined approach using coupled reduced alternating group explicit (CRAGE) algorithm and sixth order off-step discretization for the solution of two point nonlinear boundary value problems. Appl. Math. Comput. 219 (1) (2012)
R. K. Mohanty, Venu Gopal
High accuracy Arithmetic Average Type discretization for the solution of two-Space dimensional nonlinear wave equations. Int. J. Model. Simul. Sci. Comput. 3 (2) (2012)
Jyoti Talwar, R. K. Mohanty
A Class of Numerical Methods for the Solution of Fourth-Order Ordinary Differential Equations in Polar Coordinates. Adv. Numer. Anal. 2012 (2012)
Navnit Jha, R. K. Mohanty
TAGE iterative algorithm and nonpolynomial spline basis for the solution of nonlinear singular second order ordinary differential equations. Appl. Math. Comput. 218 (7) (2011)
R. K. Mohanty, Venu Gopal
High accuracy cubic spline finite difference approximation for the solution of one-space dimensional non-linear wave equations. Appl. Math. Comput. 218 (8) (2011)
Dinesh Khattar, Swarn Singh, R. K. Mohanty
A new coupled approach high accuracy numerical method for the solution of 3D non-linear biharmonic equations. Appl. Math. Comput. 215 (8) (2009)
R. K. Mohanty, Deepika Dhall
Third order accurate variable mesh discretization and application of TAGE iterative method for the non-linear two-point boundary value problems with homogeneous functions in integral form. Appl. Math. Comput. 215 (6) (2009)
R. K. Mohanty, M. K. Jain
High-accuracy cubic spline alternating group explicit methods for 1D quasi-linear parabolic equations. Int. J. Comput. Math. 86 (9) (2009)
Navnit Jha, R. K. Mohanty, Bimal Kumar Mishra
Alternating group explicit iterative method for nonlinear singular Fredholm Integro-differential boundary value problems. Int. J. Comput. Math. 86 (9) (2009)
R. K. Mohanty
New unconditionally stable difference schemes for the solution of multi-dimensional telegraphic equations. Int. J. Comput. Math. 86 (12) (2009)
R. K. Mohanty
) for 1D nonlinear parabolic equations. Appl. Math. Comput. 213 (1) (2009)
R. K. Mohanty
Three-step BLAGE iterative method for two-dimensional elliptic boundary value problems with singularity. Int. J. Comput. Math. 84 (11) (2007)
R. K. Mohanty
An implicit high accuracy variable mesh scheme for 1-D non-linear singular parabolic partial differential equations. Appl. Math. Comput. 186 (1) (2007)
R. K. Mohanty
Stability interval for explicit difference schemes for multi-dimensional second-order hyperbolic equations with significant first-order space derivative terms. Appl. Math. Comput. 190 (2) (2007)
P. K. Pandey, R. K. Mohanty
numerical technique for solving biharmonic equation. Neural Parallel Sci. Comput. 15 (1) (2007)
R. K. Mohanty
The smart-BLAGE algorithm for singularly perturbed 2D elliptic partial differential equations. Appl. Math. Comput. 190 (1) (2007)
R. K. Mohanty, Urvashi Arora
A TAGE iterative method for the solution of non-linear singular two point boundary value problems using a sixth order discretization. Appl. Math. Comput. 180 (2) (2006)
R. K. Mohanty, Urvashi Arora
A family of non-uniform mesh tension spline methods for singularly perturbed two-point singular boundary value problems with significant first derivatives. Appl. Math. Comput. 172 (1) (2006)
R. K. Mohanty
A class of non-uniform mesh three point arithmetic average discretization for y"=f(x, y, y') and the estimates of y'. Appl. Math. Comput. 183 (1) (2006)
Urvashi Arora, Samir Karaa, R. K. Mohanty
A new stable variable mesh method for 1-D non-linear parabolic partial differential equations. Appl. Math. Comput. 181 (2) (2006)
R. K. Mohanty, Noopur Khosla
Application of TAGE iterative algorithms to an efficient third order arithmetic average variable mesh discretization for two-point non-linear boundary value problems. Appl. Math. Comput. 172 (1) (2006)
R. K. Mohanty, Swarn Singh
A new fourth order discretization for singularly perturbed two dimensional non-linear elliptic boundary value problems. Appl. Math. Comput. 175 (2) (2006)
R. K. Mohanty, David J. Evans
Highly accurate two parameter CAGE parallel algorithms for non-linear singular two point boundary value problems. Int. J. Comput. Math. 82 (4) (2005)
R. K. Mohanty, David J. Evans
) difference method. Int. J. Comput. Math. 82 (2) (2005)
R. K. Mohanty, Swarn Singh
Non-uniform Mesh Arithmetic Average Discretization for Parabolic Initial Boundary Value Problems. Neural Parallel Sci. Comput. 13 (2005)
R. K. Mohanty, David J. Evans, Urvashi Arora
Convergent spline in tension methods for singularly perturbed two-point singular boundary value problems. Int. J. Comput. Math. 82 (1) (2005)
David J. Evans, R. K. Mohanty
On the application of the SMAGE parallel algorithms on a non-uniform mesh for the solution of non-linear two-point boundary value problems with singularity. Int. J. Comput. Math. 82 (3) (2005)
R. K. Mohanty
An operator splitting technique for an unconditionally stable difference method for a linear three space dimensional hyperbolic equation with variable coefficients. Appl. Math. Comput. 162 (2) (2005)
R. K. Mohanty, Noopur Khosla
A third-order-accurate variable-mesh TAGE iterative method for the numerical solution of two-point non-linear singular boundary value problems. Int. J. Comput. Math. 82 (10) (2005)
R. K. Mohanty
An unconditionally stable finite difference formula for a linear second order one space dimensional hyperbolic equation with variable coefficients. Appl. Math. Comput. 165 (1) (2005)
R. K. Mohanty, Navnit Jha
A class of variable mesh spline in compression methods for singularly perturbed two point singular boundary value problems. Appl. Math. Comput. 168 (1) (2005)
R. K. Mohanty, David J. Evans, Noopur Khosla
An non-uniform mesh cubic spline TAGE method for non-linear singular two-point boundary value problems. Int. J. Comput. Math. 82 (9) (2005)
R. K. Mohanty, Navnit Jha, David J. Evans
Spline in compression method for the numerical solution of singularly perturbed two-point singular boundary-value problems. Int. J. Comput. Math. 81 (5) (2004)
R. K. Mohanty, P. L. Sachdev, Navnit Jha
) accurate cubic spline TAGE method for nonlinear singular two point boundary value problems. Appl. Math. Comput. 158 (3) (2004)
R. K. Mohanty
An unconditionally stable difference scheme for the one-space-dimensional linear hyperbolic equation. Appl. Math. Lett. 17 (1) (2004)
R. K. Mohanty, David J. Evans
Fourth-order accurate BLAGE iterative method for the solution of two-dimensional elliptic equations in polar co-ordinates. Int. J. Comput. Math. 81 (12) (2004)
R. K. Mohanty
An operator splitting method for an unconditionally stable difference scheme for a linear hyperbolic equation with variable coefficients in two space dimensions. Appl. Math. Comput. 152 (3) (2004)
R. K. Mohanty
) for the numerical solution of one-space dimensional unsteady quasi-linear biharmonic problem of second kind. Appl. Math. Comput. 140 (1) (2003)
R. K. Mohanty, David J. Evans
A Fourth Order Accurate Cubic Spline Alternating Group Explicit Method for Non-Linear Singular Two Point Boundary Value Problems. Int. J. Comput. Math. 80 (4) (2003)
R. K. Mohanty, David J. Evans
The numerical solution of fourth order mildly quasi-linear parabolic initial boundary value problem of second kind. Int. J. Comput. Math. 80 (9) (2003)
R. K. Mohanty, David J. Evans, Dinesh Kumar
High Accuracy Difference Formulae for a Fourth Order Quasi-Linear Parabolic Initial Boundary Value Problem of First Kind. Int. J. Comput. Math. 80 (3) (2003)
R. K. Mohanty, P. L. Sachdev, Navnit Jha
Tage Method for Nonlinear Singular Two Point Boundary Value Problem using a Fourth Order Difference Scheme. Neural Parallel Sci. Comput. 11 (3) (2003)
David J. Evans, R. K. Mohanty
Alternating Group Explicit Method for the Numerical Solution of Non-Linear Singular Two-Point Boundary Value Problems Using a Fourth Order Finite Difference Method. Int. J. Comput. Math. 79 (10) (2002)
R. K. Mohanty, M. K. Jain, Urvashi Arora
An Unconditionally Stable ADI Method for the Linear Hyperbolic Equation in Three Space Dimensions. Int. J. Comput. Math. 79 (1) (2002)
R. K. Mohanty, David J. Evans, Shivani Dey
) of the solution of non-linear singular two point boundary value problem. Int. J. Comput. Math. 78 (1) (2001)
R. K. Mohanty, Shivani Dey
A new finite difference discretization of order four for for two-dimensional quasi-linear elliptic boundary value problem. Int. J. Comput. Math. 76 (4) (2001)
R. K. Mohanty, David J. Evans, P. K. Pandey
Block iterative methods for the numerical solution of three dimensional mildly non-linear biharmonic problems of first kind. Int. J. Comput. Math. 77 (2) (2001)
R. K. Mohanty, David J. Evans
Block Iterative Methods for One Dimensional Nonlinear Biharmonic Problems on a Parallel Computer. Parallel Algorithms Appl. 13 (3) (1999)
R. K. Mohanty, David J. Evans
New algorithms for the numerical solution of one dimensional singular biharmonic problems of second kind. Int. J. Comput. Math. 73 (1) (1999)
R. K. Mohanty, P. K. Pandey
Families of accurate discretizations of order two and four for 3-D mildly nonlinear biharmonic problems of second kind. Int. J. Comput. Math. 68 (3-4) (1998)
David J. Evans, R. K. Mohanty
Block iterative methods for the numerical solution of two dimensional nonlinear biharmonic equations. Int. J. Comput. Math. 69 (3-4) (1998)
R. K. Mohanty, M. K. Jain, P. K. Pandey
Finite difference methods of order two and four for 2-d non-linear biharmonic problems of first kind. Int. J. Comput. Math. 61 (1-2) (1996)
R. K. Mohanty, Kochurani George, M. K. Jain
High accuracy difference schemes for a class of singular three space dimensional hyperbolic equations. Int. J. Comput. Math. 56 (3-4) (1995)
M. K. Jain, R. K. Jain, R. K. Mohanty
The numerical solution of the two-dimensional unsteady navier-stokes equations using fourth-order difference method. Int. J. Comput. Math. 39 (1-2) (1991)
M. K. Jain, R. K. Jain, R. K. Mohanty
A higher-order difference method for 3-D parabolic partial differential equations with nonlinear first derivative terms. Int. J. Comput. Math. 38 (1-2) (1991)
M. K. Jain, R. K. Jain, R. K. Mohanty
High order difference methods for system of id nonlinear parabolic partial differential equations. Int. J. Comput. Math. 37 (1-2) (1990)