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ORCIDSantanu Saha Ray
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- affiliation: National Institute of Technology Rourkela, Odisha, India
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Journal Articles
- 2023
[j54]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)- [j53]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): 256 (2023) - [j52]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): 715-728 (2023) - [j51]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: 107287 (2023) - [j50]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): 641-665 (2023) - [j49]Santanu Saha Ray:
Two competent novel techniques based on two-dimensional wavelets for nonlinear variable-order Riesz space-fractional Schrödinger equations. J. Comput. Appl. Math. 424: 114971 (2023) - [j48]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: 826-845 (2023) - 2022
- [j47]Srikanta 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) - [j46]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) - [j45]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) - [j44]Santanu Saha Ray:
A novel wavelets operational matrix method for the time variable-order fractional mobile-immobile advection-dispersion model. Eng. Comput. 38(4): 2629-2650 (2022) - [j43]Srikanta 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: 113825 (2022) - [j42]Srikanta Behera, Santanu Saha Ray:
Two-dimensional wavelets scheme for numerical solutions of linear and nonlinear Volterra integro-differential equations. Math. Comput. Simul. 198: 332-358 (2022) - 2021
- [j41]Santanu Saha Ray, P. K. Singh:
Numerical solution of stochastic Itô-Volterra integral equation by using Shifted Jacobi operational matrix method. Appl. Math. Comput. 410: 126440 (2021) - [j40]Srikanta 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) - [j39]B. Sagar, Santanu Saha Ray:
Numerical soliton solutions of fractional Newell-Whitehead-Segel equation in binary fluid mixtures. Comput. Appl. Math. 40(8) (2021) - 2020
- [j38]Srikanta 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) - [j37]Santanu Saha Ray, Srikanta Behera:
Two-dimensional wavelets operational method for solving Volterra weakly singular partial integro-differential equations. J. Comput. Appl. Math. 366 (2020) - [j36]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): 1001 (2020) - 2019
- [j35]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): 1941007:1-1941007:11 (2019) - 2018
- [j34]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): 2271-2279 (2018) - [j33]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): 2110-2118 (2018) - 2017
- [j32]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: 1-12 (2017) - [j31]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): 253-260 (2017) - [j30]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): 1118-1133 (2017) - [j29]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): 1158-1165 (2017) - [j28]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: 131-144 (2017) - [j27]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): 77-89 (2017) - [j26]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): 1750015:1-1750015:16 (2017) - 2016
- [j25]Santanu Saha Ray:
New exact solutions of nonlinear fractional acoustic wave equations in ultrasound. Comput. Math. Appl. 71(3): 859-868 (2016) - [j24]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): 1650036:1-1650036:15 (2016) - [j23]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: 402-409 (2016) - [j22]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: 47-55 (2016) - 2015
- [j21]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: 72-82 (2015) - [j20]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: 715-723 (2015) - [j19]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: 135-148 (2015) - [j18]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: 575-580 (2015) - [j17]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: 458-471 (2015) - [j16]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: 871-878 (2015) - [j15]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): 158-166 (2015) - [j14]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): 1271-1279 (2015) - [j13]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): 1495-1504 (2015) - 2014
- [j12]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: 368-379 (2014) - [j11]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: 682910:1-682910:16 (2014) - 2013
- [j10]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: 659-667 (2013) - [j9]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): 1-15 (2013) - 2012
- [j8]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): 5239-5248 (2012) - 2008
- [j7]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): 294-302 (2008) - [j6]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): 544-549 (2008) - 2006
- [j5]Santanu Saha Ray, R. K. Bera:
Analytical solution of a fractional diffusion equation by Adomian decomposition method. Appl. Math. Comput. 174(1): 329-336 (2006) - [j4]Santanu Saha Ray:
A numerical solution of the coupled sine-Gordon equation using the modified decomposition method. Appl. Math. Comput. 175(2): 1046-1054 (2006) - [j3]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): 544-552 (2006) - 2005
- [j2]Santanu Saha Ray, R. K. Bera:
An approximate solution of a nonlinear fractional differential equation by Adomian decomposition method. Appl. Math. Comput. 167(1): 561-571 (2005) - [j1]Santanu Saha Ray, R. K. Bera:
Analytical solution of the Bagley Torvik equation by Adomian decomposition method. Appl. Math. Comput. 168(1): 398-410 (2005)
Informal and Other Publications
- 2023
- [i2]Santanu Saha Ray, Reema Gupta:
A new numerical technique based on Chelyshkov polynomials for solving two-dimensional stochastic Itô-Volterra Fredholm integral equation. CoRR abs/2312.00020 (2023) - [i1]Reema Gupta, Santanu Saha Ray:
Comparison of two efficient numerical techniques based on Chelyshkov polynomial for solving stochastic Itô-Volterra integral equation. CoRR abs/2312.12445 (2023)
Coauthor Index
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