Preconditined semilinear stochastic singular and hypersingular integral equations

Fadrani, D. Rostami Varnos; Maleknejad, K.

doi:10.1080/07362990008809705

Cited by 2 publications

(1 citation statement)

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“…al. (2014)], m-dimensional stochastic Itô-Volterra integral equations ], stochastic Volterra-Fredholm integral equations [Khodabin, M. et al (2012)], nonlinear stochastic Itô Volterra integral equations [Hashemi, B. et al (2017)], two-dimensional linear stochastic Volterra-Fredholm integral equation [Fallahpour, M. et al (2016)], stochastic Volterra integral equations [Shekarabi, F. H. et al (2014)], stochastic Volterra integral equations [Khodabin, M. et al (2014)], stochastic Itô-Volterra integral equations [Heydari, M. H. et al (2014)], reconditined semilinear stochastic singular and hypersingular integral equations [Rostami Varnos Fadrani, D., Maleknejad, K. (2000)], fractional stochastic integro-differential equation ], two dimensional linear stochastic integral equations on non-rectangular domains [Mirzaee, F., Samadyar, N. (2018)], Legendre wavelets Galerkin method for solving nonlinear stochastic integral equations [Heydari, M. H. et al (2016)], nonlinear Stratonovich Volterra integral equations ].…”

Section: Introductionmentioning

confidence: 99%

Bernstein polynomial multiwavelets operational matrices method for the numerical solution of system of linear Stratonovich Volterra integral equations

Shiralashetti¹,

Lamani²

2021

JSR

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This article gives an effective strategy to solve the system of linear Stratonovich Volterra integral equations. Using the Bernstein polynomial multiwavelets operational matrix of integration and its stochastic operational matrix of integration, the system of linear Stratonovich Volterra integral equations can be reduced to a system of linear algebraic equations with unknown coefficients, and the obtained linear algebraic equations are solved numerically. Error analysis of the proposed method is given. Numerical examples are presented to show that the method described is accurate and precise. Keywords-Bernstein polynomials, Bernstein polynomial multiwavelets, Brownian motion, Stratonovich Volterra integral equations, Stochastic operational matrix of integration of Bernstein polynomial multiwavelets.

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