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Implicit RBF Meshless Method for the Solution of Two-dimensional Variable Order Fractional Cable Equation

Publish place: Journal of Applied and Computational Mechanics، Vol: 6، Issue: 2
Publish Year: 1399
Type: Journal paper
Language: English
View: 475

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Link to this Paper:
https://civilica.com/doc/1025539

Document National Code:

JR_JACM-6-2_005

Index date: 1 July 2020

Implicit RBF Meshless Method for the Solution of Two-dimensional Variable Order Fractional Cable Equation abstract

In the present work, the numerical solution of two-dimensional variable-order fractional cable (VOFC) equation using meshless collocation methods with thin plate spline radial basis functions is considered. In the proposed methods, we first use two schemes of order O(τ2) for the time derivatives and then meshless approach is applied to the space component. Numerical results obtained from solving considered model on regular and irregular domains, demonstrate the accuracy and efficiency of the proposed schemes.

Implicit RBF Meshless Method for the Solution of Two-dimensional Variable Order Fractional Cable Equation Keywords:

‎Variable order fractional cable equation‎ , ‎Meshless method‎ , ‎Radial basis functions‎ , ‎Thin plate spline‎

Implicit RBF Meshless Method for the Solution of Two-dimensional Variable Order Fractional Cable Equation authors

Akbar Mohebbi

Department of Applied Mathematics, Faculty of Mathematical Science, University of Kashan, Kashan, Iran

Marziyeh Saffarian

Department of Applied Mathematics, Faculty of Mathematical Science, University of Kashan, Kashan, Iran

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