Application of combination schemes based on radial basis functions and finite difference to solve stochastic coupled nonlinear time fractional sine-Gordon equations

DOI10.1007/s40314-021-01725-xzbMath1499.35744OpenAlexW4200257536MaRDI QIDQ2064984

Shadi Rezaei, Farshid Mirzaee, Nasrin Samadyar

Publication date: 6 January 2022

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-021-01725-x

zbMATH Keywords

finite difference methodstochastic partial differential equationsCaputo fractional derivativeBrownian motion processfractional stochastic sine-Gordon equation

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (9)

A new and efficient approach for solving linear and nonlinear time-fractional diffusion equations of distributed order ⋮ Meshfree methods for the variable-order fractional advection-diffusion equation ⋮ Random vibration of hysteretic systems under Poisson white noise excitations ⋮ Discrete Chebyshev polynomials for the numerical solution of stochastic fractional two-dimensional Sobolev equation ⋮ Reconstruction of a time‐dependent coefficient in nonlinear Klein–Gordon equation using Bernstein spectral method ⋮ Jacobi polynomials for the numerical solution of multi-dimensional stochastic multi-order time fractional diffusion-wave equations ⋮ Numerical simulations of nonlinear stochastic Newell-Whitehead-Segel equation and its measurable properties ⋮ Application of C-Bézier and H-Bézier basis functions to numerical solution of convection-diffusion equations ⋮ Numerical simulations of stochastic differential equation model for spatiotemporal biological interactions

Uses Software

• Matlab

Cites Work

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• A numerical method for KdV equation using collocation and radial basis functions
• Method of lines for stochastic boundary-value problems with additive noise
• Numerical solution of stochastic elliptic partial differential equations using the meshless method of radial basis functions
• Using radial basis functions to solve two dimensional linear stochastic integral equations on non-rectangular domains
• On the numerical solution of fractional stochastic integro-differential equations via meshless discrete collocation method based on radial basis functions
• Spectral collocation method for stochastic Burgers equation driven by additive noise
• Numerical solution of the system of second-order boundary value problems using the local radial basis functions based differential quadrature collocation method
• A collocation method using new combined radial basis functions of thin plate and multiquadraic types
• Pricing European and American options with two stochastic factors: a highly efficient radial basis function approach
• Numerical approximation of the nonlinear time-fractional telegraph equation arising in neutron transport
• An efficient localized meshless technique for approximating nonlinear sinh-Gordon equation arising in surface theory
• Numerical investigation of fractional nonlinear sine-Gordon and Klein-Gordon models arising in relativistic quantum mechanics
• A meshless method for free vibration analysis of circular and rectangular clamped plates using radial basis function
• Wiener chaos expansions and numerical solutions of randomly forced equations of fluid mechanics
• Numerical solution of two-dimensional stochastic time-fractional Sine-Gordon equation on non-rectangular domains using finite difference and meshfree methods
• Stochastic difference equations and a stochastic partial differential equation for neutron transport
• Modeling with Itô Stochastic Differential Equations
• Derivation of Stochastic Partial Differential Equations
• Scattered Data Approximation
• Stochastic Equations in Infinite Dimensions

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