Santanu Saha Ray

Publication Activity (10 Years)

Years Active: 2005-2023
Publications (10 Years): 40

Top Topics

Finite Element Method

Numerical Solution

Differential Equations

Top Venues

Appl. Math. Comput.

Comput. Math. Appl.

Comput. Appl. Math.

J. Comput. Appl. Math.

Publications

Reema Gupta, Santanu Saha Ray
A new effective coherent numerical technique based on shifted Vieta-Fibonacci polynomials for solving stochastic fractional integro-differential equation. Comput. Appl. Math. 42 (6) (2023)
P. K. Singh, Santanu Saha Ray
Shifted Chebyshev spectral Galerkin method to solve stochastic Itô-Volterra integral equations driven by fractional Brownian motion appearing in mathematical physics. Comput. Appl. Math. 42 (3) (2023)
P. K. Singh, Santanu Saha Ray
An efficient numerical method based on Lucas polynomials to solve multi-dimensional stochastic Itô-Volterra integral equations. Math. Comput. Simul. 203 (2023)
P. K. Singh, Santanu Saha Ray
A Novel Study Based on Shifted Jacobi Polynomials to Find the Numerical Solutions of Nonlinear Stochastic Differential Equations Driven by Fractional Brownian Motion. Comput. Methods Appl. Math. 23 (3) (2023)
Santanu Saha Ray, Reema Gupta
A new numerical technique based on Chelyshkov polynomials for solving two-dimensional stochastic Itô-Volterra Fredholm integral equation. CoRR (2023)
Srikanta Behera, Santanu Saha Ray
A novel method with convergence analysis based on the Jacobi wavelets for solving a system of two-dimensional Volterra integral equations. Int. J. Comput. Math. 100 (3) (2023)
Reema Gupta, Santanu Saha Ray
Comparison of two efficient numerical techniques based on Chelyshkov polynomial for solving stochastic Itô-Volterra integral equation. CoRR (2023)
B. Sagar, Santanu Saha Ray
A localized meshfree technique for solving fractional Benjamin-Ono equation describing long internal waves in deep stratified fluids. Commun. Nonlinear Sci. Numer. Simul. 123 (2023)
S. Behera, Santanu Saha Ray
An efficient numerical method based on Euler wavelets for solving fractional order pantograph Volterra delay-integro-differential equations. J. Comput. Appl. Math. 406 (2022)
Srikanta Behera, Santanu Saha Ray
On a wavelet-based numerical method for linear and nonlinear fractional Volterra integro-differential equations with weakly singular kernels. Comput. Appl. Math. 41 (5) (2022)
S. Behera, Santanu Saha Ray
A wavelet-based novel technique for linear and nonlinear fractional Volterra-Fredholm integro-differential equations. Comput. Appl. Math. 41 (2) (2022)
S. Behera, Santanu Saha Ray
Two-dimensional wavelets scheme for numerical solutions of linear and nonlinear Volterra integro-differential equations. Math. Comput. Simul. 198 (2022)
B. Sagar, Santanu Saha Ray
Numerical solution of fractional Kersten-Krasil'shchik coupled KdV-mKdV system arising in shallow water waves. Comput. Appl. Math. 41 (6) (2022)
S. Behera, Santanu Saha Ray
Euler wavelets method for solving fractional-order linear Volterra-Fredholm integro-differential equations with weakly singular kernels. Comput. Appl. Math. 40 (6) (2021)
S. Behera, Santanu Saha Ray
An operational matrix based scheme for numerical solutions of nonlinear weakly singular partial integro-differential equations. Appl. Math. Comput. 367 (2020)
Subhadarshan Sahoo, Santanu Saha Ray, Mohamed Aly Mohamed Abdou, Mustafa Inç, Yu-Ming Chu
New Soliton Solutions of Fractional Jaulent-Miodek System with Symmetry Analysis. Symmetry 12 (6) (2020)
Santanu Saha Ray, S. Behera
Two-dimensional wavelets operational method for solving Volterra weakly singular partial integro-differential equations. J. Comput. Appl. Math. 366 (2020)
A. K. Gupta, Santanu Saha Ray
The Petrov-Galerkin finite element method for the numerical solution of time-fractional Sharma-Tasso-Olver equation. Int. J. Model. Simul. Sci. Comput. 10 (1) (2019)
Santanu Saha Ray, Subhadarshan Sahoo
Invariant analysis and conservation laws of (2+1) dimensional time-fractional ZK-BBM equation in gravity water waves. Comput. Math. Appl. 75 (7) (2018)
Santanu Saha Ray
Invariant analysis and conservation laws for the time fractional (2+1)-dimensional Zakharov-Kuznetsov modified equal width equation using Lie group analysis. Comput. Math. Appl. 76 (9) (2018)
A. K. Gupta, Santanu Saha Ray
On the solitary wave solution of fractional Kudryashov-Sinelshchikov equation describing nonlinear wave processes in a liquid containing gas bubbles. Appl. Math. Comput. 298 (2017)
Santanu Saha Ray, A. K. Gupta
Two-dimensional Legendre wavelet method for travelling wave solutions of time-fractional generalized seventh order KdV equation. Comput. Math. Appl. 73 (6) (2017)
A. K. Gupta, Santanu Saha Ray
Two-Dimensional Chebyshev Wavelet Method for Camassa-Holm Equation with Riesz Fractional Derivative Describing Propagation of Shallow Water Waves. Fundam. Informaticae 151 (1-4) (2017)
Prakash Kumar Sahu, Santanu Saha Ray
A new Bernoulli wavelet method for accurate solutions of nonlinear fuzzy Hammerstein-Volterra delay integral equations. Fuzzy Sets Syst. 309 (2017)
Prakash Kumar Sahu, Santanu Saha Ray
Chebyshev wavelet method for numerical solutions of integro-differential form of Lane-Emden type differential equations. Int. J. Wavelets Multiresolution Inf. Process. 15 (2) (2017)
Subhadarshan Sahoo, Santanu Saha Ray
Lie symmetry analysis and exact solutions of (3+1) dimensional Yu-Toda-Sasa-Fukuyama equation in mathematical physics. Comput. Math. Appl. 73 (2) (2017)
Santanu Saha Ray
On conservation laws by Lie symmetry analysis for (2+1)-dimensional Bogoyavlensky-Konopelchenko equation in wave propagation. Comput. Math. Appl. 74 (6) (2017)
Prakash Kumar Sahu, Santanu Saha Ray
Comparative experiment on the numerical solutions of Hammerstein integral equation arising from chemical phenomenon. J. Comput. Appl. Math. 291 (2016)
Prakash Kumar Sahu, Santanu Saha Ray
A numerical approach for solving nonlinear fractional Volterra-Fredholm integro-differential equations with mixed boundary conditions. Int. J. Wavelets Multiresolution Inf. Process. 14 (5) (2016)
Santanu Saha Ray
New exact solutions of nonlinear fractional acoustic wave equations in ultrasound. Comput. Math. Appl. 71 (3) (2016)
Prakash Kumar Sahu, Santanu Saha Ray
Legendre spectral collocation method for the solution of the model describing biological species living together. J. Comput. Appl. Math. 296 (2016)
Prakash Kumar Sahu, Santanu Saha Ray
Hybrid Legendre Block-Pulse functions for the numerical solutions of system of nonlinear Fredholm-Hammerstein integral equations. Appl. Math. Comput. 270 (2015)
Santanu Saha Ray, Subhadarshan Sahoo
A class of time-fractional-order continuous population models for interacting species with stability analysis. Neural Comput. Appl. 26 (6) (2015)
Prakash Kumar Sahu, Santanu Saha Ray
Legendre wavelets operational method for the numerical solutions of nonlinear Volterra integro-differential equations system. Appl. Math. Comput. 256 (2015)
Subhadarshan Sahoo, Santanu Saha Ray
Improved fractional sub-equation method for (3+1) -dimensional generalized fractional KdV-Zakharov-Kuznetsov equations. Comput. Math. Appl. 70 (2) (2015)
Prakash Kumar Sahu, Santanu Saha Ray
Two-dimensional Legendre wavelet method for the numerical solutions of fuzzy integro-differential equations. J. Intell. Fuzzy Syst. 28 (3) (2015)
A. K. Gupta, Santanu Saha Ray
An investigation with Hermite Wavelets for accurate solution of Fractional Jaulent-Miodek equation associated with energy-dependent Schrödinger potential. Appl. Math. Comput. 270 (2015)
Santanu Saha Ray, Subhadarshan Sahoo
A comparative study on the analytic solutions of fractional coupled sine-Gordon equations by using two reliable methods. Appl. Math. Comput. 253 (2015)
Prakash Kumar Sahu, Santanu Saha Ray
Legendre spectral collocation method for Fredholm integro-differential-difference equation with variable coefficients and mixed conditions. Appl. Math. Comput. 268 (2015)
Santanu Saha Ray, A. K. Gupta
A numerical investigation of time-fractional modified Fornberg-Whitham equation for analyzing the behavior of water waves. Appl. Math. Comput. 266 (2015)
Prakash Kumar Sahu, Santanu Saha Ray
Numerical solutions for the system of Fredholm integral equations of second kind by a new approach involving semiorthogonal B-spline wavelet collocation method. Appl. Math. Comput. 234 (2014)
A. K. Gupta, Santanu Saha Ray
On the Solutions of Fractional Burgers-Fisher and Generalized Fisher's Equations Using Two Reliable Methods. Int. J. Math. Math. Sci. 2014 (2014)
Santanu Saha Ray
Numerical solutions of (1 + 1) dimensional time fractional coupled Burger equations using new coupled fractional reduced differential transform method. Int. J. Comput. Sci. Math. 4 (1) (2013)
Santanu Saha Ray, Ashrita Patra
Haar wavelet operational methods for the numerical solutions of fractional order nonlinear oscillatory Van der Pol system. Appl. Math. Comput. 220 (2013)
Santanu Saha Ray
On Haar wavelet operational matrix of general order and its application for the numerical solution of fractional Bagley Torvik equation. Appl. Math. Comput. 218 (9) (2012)
Santanu Saha Ray
A new approach for the application of Adomian decomposition method for the solution of fractional space diffusion equation with insulated ends. Appl. Math. Comput. 202 (2) (2008)
Santanu Saha Ray, K. S. Chaudhuri, R. K. Bera
Application of modified decomposition method for the analytical solution of space fractional diffusion equation. Appl. Math. Comput. 196 (1) (2008)
Santanu Saha Ray, R. K. Bera
Analytical solution of a fractional diffusion equation by Adomian decomposition method. Appl. Math. Comput. 174 (1) (2006)
Santanu Saha Ray, K. S. Chaudhuri, R. K. Bera
Analytical approximate solution of nonlinear dynamic system containing fractional derivative by modified decomposition method. Appl. Math. Comput. 182 (1) (2006)
Santanu Saha Ray
A numerical solution of the coupled sine-Gordon equation using the modified decomposition method. Appl. Math. Comput. 175 (2) (2006)
Santanu Saha Ray, R. K. Bera
An approximate solution of a nonlinear fractional differential equation by Adomian decomposition method. Appl. Math. Comput. 167 (1) (2005)
Santanu Saha Ray, R. K. Bera
Analytical solution of the Bagley Torvik equation by Adomian decomposition method. Appl. Math. Comput. 168 (1) (2005)