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Numerical Solution of Stochastic Generalized Fractional Diffusion Equation by Finite Difference Method

机译：有限差分法的随机广义分数扩散方程的数值解

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摘要

The present study aimed at solving the stochastic generalized fractional diffusion equation (SGFDE) by means of the random finite difference method (FDM). Moreover, the conditions of mean square convergence of the numerical solution are studied and numerical examples are presented to demonstrate the validity and accuracy of the method.

机译：本研究旨在通过随机有限差分法（FDM）求解随机广义分数扩散方程（SGFDE）。此外，研究了数值溶液的平均平均收敛条件，并提出了数值例证以证明该方法的有效性和准确性。

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Amaneh Sepahvandzadeh; Bahman Ghazanfari; Nader Asadian;
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年度 2018
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1. Numerical Solution of Stochastic Generalized Fractional Diffusion Equation by Finite Difference Method [J] . Amaneh Sepahvandzadeh, Bahman Ghazanfari, Nader Asadian Mathematical and Computational Applications . 2018,第4期

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2. Compact finite difference method to numerically solving a stochastic fractional advection-diffusion equation [J] . Sweilam N. H., El-Sakout D. M., Muttardi M. M. Advances in Difference Equations . 2020,第a期

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3. Numerical solution of two-dimensional stochastic time-fractional Sine-Gordon equation on non-rectangular domains using finite difference and meshfree methods [J] . Farshid Mirzaee, Shadi Rezaei, Nasrin Samadyar Engineering analysis with boundary elements . 2021,第Juna期

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4. Numerical solution for time fractional-order diffusion-wave equation using explicit finite difference method in web service form [C] . Jan Terpak, Pavel Horovcak, Matej Lukac International Carpathian Control Conference . 2017

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5. Algorithm Analysis, Code Analysis, Code Vectorization, and Code Parallelization of a Fast Finite Difference Method for Space Fractional Diffusion Equations in Three Space Dimensions. [D] . Swartz, Matthew. 2015

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6. Finite Difference Method for Time-Space Fractional Advection–Diffusion Equations with Riesz Derivative [O] . Sadia Arshad, Dumitru Baleanu, Jianfei Huang, 2018

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7. Numerical Solutions for Linear Fractional Differential Equations of Order 1 [O] . R. B. Albadarneh, I. M. Batiha, M. Zurigat 2016

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8. An Investigation of the Numerical Methods of Finite Differences and Finite Elements for Digital Computer Solution of the Transient Heat Conduction (Diffusion) Equation Using Optimum Implicit Formulations. [R] . martin,charles r. 1978

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Numerical Solution of Stochastic Generalized Fractional Diffusion Equation by Finite Difference Method

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