Construction of operational matrices based on linear cardinal B-spline functions for solving fractional stochastic integro-differential equation

DOI10.1007/s12190-021-01519-8zbMath1490.65310OpenAlexW3135267335WikidataQ115377179 ScholiaQ115377179MaRDI QIDQ2143792

Somayeh Abdi-Mazraeh, Hossein Kheiri, Safar Irandoust-Pakchin

Publication date: 31 May 2022

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

Full work available at URL: https://doi.org/10.1007/s12190-021-01519-8

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Numerical solutions to stochastic differential and integral equations (65C30) Stochastic integral equations (60H20) Random integral equations (45R05)

Cites Work

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• A computational method for solving nonlinear stochastic Volterra integral equations
• The construction of operational matrix of fractional derivatives using B-spline functions
• One linear analytic approximation for stochastic integrodifferential equations
• Applications of fractional calculus in solving Abel-type integral equations: surface-volume reaction problem
• Calculation of coefficients of a cardinal B-spline
• Fractional generalized splines and signal processing
• A practical guide to splines
• Stochastic integral equations for Walsh semimartingales
• Euler polynomial solutions of nonlinear stochastic Itô-Volterra integral equations
• Numerical solution based on hybrid of block-pulse and parabolic functions for solving a system of nonlinear stochastic Itô-Volterra integral equations of fractional order
• On the numerical solution of fractional stochastic integro-differential equations via meshless discrete collocation method based on radial basis functions
• Application of hat basis functions for solving two-dimensional stochastic fractional integral equations
• Quintic B-spline collocation method to solve \(n\)-dimensional stochastic Itô-Volterra integral equations
• An iterative algorithm for solving two dimensional nonlinear stochastic integral equations: a combined successive approximations method with bilinear spline interpolation
• Cubic B-spline approximation for linear stochastic integro-differential equation of fractional order
• A wavelet-based computational method for solving stochastic Itô-Volterra integral equations
• Numerical solution of fractional integro-differential equations by a hybrid collocation method
• Asymptotic stability of neutral stochastic functional integro-differential equations with impulses
• Existence of Solution for Fractional Stochastic Integro-Differential Equation with Impulsive Effect
• An efficient cubic B‐spline and bicubic B‐spline collocation method for numerical solutions of multidimensional nonlinear stochastic quadratic integral equations
• On a system of differential equations with fractional derivatives arising in rod theory
• On the numerical solution of stochastic quadratic integral equations via operational matrix method
• Numerical solution of nonlinear stochastic Itô‐Volterra integral equations driven by fractional Brownian motion
• Spatial Besov regularity for semilinear stochastic partial differential equations on bounded Lipschitz domains

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