Mani Mehra

Publication Activity (10 Years)

Years Active: 2005-2024
Publications (10 Years): 15

Top Topics

Finite Difference

Differential Equations

Top Venues

Adv. Comput. Math.

J. Appl. Math. Comput.

Publications

Abhishek Kumar Singh, Mani Mehra, Anatoly A. Alikhanov
Modified least squares method and a review of its applications in machine learning and fractional differential/integral equations. CoRR (2024)
Shweta Kumari, Abhishek Kumar Singh, Vaibhav Mehandiratta, Mani Mehra
High order approximation to Caputo derivative on graded mesh and time-fractional diffusion equation for non-smooth solutions. CoRR (2023)
Abhishek Kumar Singh, Mani Mehra
An algorithm to estimate parameter in Müntz-Legendre polynomial approximation for the numerical solution of stochastic fractional integro-differential equation. J. Appl. Math. Comput. 69 (3) (2023)
Abhishek Kumar Singh, Mani Mehra, Anatoly A. Alikhanov
Data-Driven Discovery of Time Fractional Differential Equations. ICCS (1) (2022)
Abhishek Kumar Singh, Mani Mehra
Analytic and Numerical Solutions of Space-Time Fractional Diffusion Wave Equations with Different Fractional Order. ICCS (1) (2021)
Abhishek Kumar Singh, Mani Mehra
Wavelet collocation method based on Legendre polynomials and its application in solving the stochastic fractional integro-differential equations. J. Comput. Sci. 51 (2021)
Mani Mehra, Ankita Shukla, Günter Leugering
An adaptive spectral graph wavelet method for PDEs on networks. Adv. Comput. Math. 47 (1) (2021)
Vaibhav Mehandiratta, Mani Mehra, Günter Leugering
Existence results and stability analysis for a nonlinear fractional boundary value problem on a circular ring with an attached edge : A study of fractional calculus on metric graph. Networks Heterog. Media 16 (2) (2021)
Vaibhav Mehandiratta, Mani Mehra, Günter Leugering
Optimal Control Problems Driven by Time-Fractional Diffusion Equations on Metric Graphs: Optimality System and Finite Difference Approximation. SIAM J. Control. Optim. 59 (6) (2021)
Abhishek Kumar Singh, Mani Mehra
Uncertainty Quantification in Fractional Stochastic Integro-Differential Equations Using Legendre Wavelet Collocation Method. ICCS (2) (2020)
Kuldip Singh Patel, Mani Mehra
Fourth order compact scheme for space fractional advection-diffusion reaction equations with variable coefficients. J. Comput. Appl. Math. 380 (2020)
Ankita Shukla, Mani Mehra
Nonhomogeneous backward heat conduction problem: Compact filter regularization and error estimates. J. Appl. Math. Comput. 62 (1-2) (2020)
Ankita Shukla, Mani Mehra
A Compact Filter Regularization Method for Solving Sideways Heat Equation. NUMTA (2) (2019)
Ratikanta Behera, Mani Mehra
Approximation of the differential operators on an adaptive spherical geodesic grid using spherical wavelets. Math. Comput. Simul. 132 (2017)
Mani Mehra, Kuldip Singh Patel
Algorithm 986: A Suite of Compact Finite Difference Schemes. ACM Trans. Math. Softw. 44 (2) (2017)
Ratikanta Behera, Mani Mehra, Nicholas K.-R. Kevlahan
Multilevel approximation of the gradient operator on an adaptive spherical geodesic grid. Adv. Comput. Math. 41 (3) (2015)
Kavita Goyal, Mani Mehra
A fast adaptive diffusion wavelet method for Burger's equation. Comput. Math. Appl. 68 (4) (2014)
Kavita Goyal, Mani Mehra
An adaptive meshfree diffusion wavelet method for partial differential equations on the sphere. J. Comput. Phys. 272 (2014)
Mani Mehra, Kavita Goyal
Algorithm 929: A suite on wavelet differentiation algorithms. ACM Trans. Math. Softw. 39 (4) (2013)
Ratikanta Behera, Mani Mehra
Approximate solution of modified Camassa-Holm and Degasperis-Procesi equations using Wavelet Optimized Finite difference Method. Int. J. Wavelets Multiresolution Inf. Process. 11 (2) (2013)
Mani Mehra, B. V. Rathish Kumar
Error Estimates for Linear PDEs Solved by Wavelet Based Taylor-Galerkin Schemes. Int. J. Wavelets Multiresolution Inf. Process. 7 (2) (2009)
Mani Mehra, Nicholas K.-R. Kevlahan
An adaptive wavelet collocation method for the solution of partial differential equations on the sphere. J. Comput. Phys. 227 (11) (2008)
Mani Mehra, Nicholas K.-R. Kevlahan
An Adaptive Multilevel Wavelet Solver for Elliptic Equations on an Optimal Spherical Geodesic Grid. SIAM J. Sci. Comput. 30 (6) (2008)
Vivek Kumar, Mani Mehra
Cubic spline Adaptive Wavelet Scheme to Solve singularly perturbed Reaction Diffusion Problems. Int. J. Wavelets Multiresolution Inf. Process. 5 (2) (2007)
Mani Mehra, Vivek Kumar
Fast wavelet-Taylor Galerkin method for linear and non-linear wave problems. Appl. Math. Comput. 189 (2) (2007)
Mani Mehra, B. V. Rathish Kumar
Error Estimates for Time Accurate Wavelet Based Schemes for Hyperbolic Partial Differential Equations. Int. J. Wavelets Multiresolution Inf. Process. 5 (4) (2007)
Mani Mehra, B. V. Rathish Kumar
Time Accurate Fast Three-Step Wavelet-Galerkin Method for Partial Differential Equations. Int. J. Wavelets Multiresolution Inf. Process. 4 (1) (2006)
B. V. Rathish Kumar, Mani Mehra
A three-step wavelet Galerkin method for parabolic and hyperbolic partial differential equations. Int. J. Comput. Math. 83 (1) (2006)
B. V. Rathish Kumar, Mani Mehra
Time-accurate solutions of Korteweg-de Vries equation using wavelet Galerkin method. Appl. Math. Comput. 162 (1) (2005)
B. V. Rathish Kumar, Shalini, Mani Mehra
Non-stationary iterative solvers on a PC cluster. Adv. Eng. Softw. 36 (6) (2005)
B. V. Rathish Kumar, Mani Mehra
A Time Accurate Pseudo-Wavelet Scheme for Two-Dimensional Turbulence. Int. J. Wavelets Multiresolution Inf. Process. 3 (4) (2005)
B. V. Rathish Kumar, Mani Mehra
Wavelet multilayer Taylor Galerkin schemes for hyperbolic and parabolic problems. Appl. Math. Comput. 166 (2) (2005)
B. V. Rathish Kumar, Mani Mehra
Wavelet based preconditioners for sparse linear systems. Appl. Math. Comput. 171 (1) (2005)