We consider two one step schemes (the forward Euler and a mix Euler scheme for time integration) to approximate the model and analyze stability and accuracy of ...
A model partial integro-differential operator (PIDO) that contains both local and nonlocal diffusion operators is considered in this article.
Oct 27, 2022 · This article is concerned with developing a method to find a numerical solution of a one-dimensional variable-order non-linear partial integro-differential ...
This paper deals with a construction and convergence analysis of a numerical scheme devised for solving the time-fractional porous medium equation with ...
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Stable numerical schemes for a partly convolutional partial integro-differential equation · S. K. Bhowmik. Mathematics. Appl. Math. Comput. 2010. 13 Citations.
We have made an attempt to develop a numerical solution via the use of Sinc-Galerkin method, the convergence analysis via the use of fixed point theory has been ...
This paper investigates the partial integro-differential equation of memory type numerically. The differential operator is discretized based on θ-finite ...
A stability result is derived that is applicable to equations and numerical methods far more general than those treated in this paper. Key words.
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A difference method for the numerical integration of a nonlinear partial integrodifferential equation is considered. The integral term is treated by means ...
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May 17, 2022 · In this paper, we introduce an effective model of iterative fractional partial integro-differential equations (FPIDEs) with memory terms subject to initial ...