Numerical Solutions of Some Classes of Partial Differential Equations of Fractional Order

Authors

  • Iman ALdarawi University of Jordan
  • Banan Maayah
  • Eman Aldabbas
  • Eman Abuteen

DOI:

https://doi.org/10.29020/nybg.ejpam.v16i4.4928

Keywords:

Separation of variables, Tensor product of Banach spaces, Atomic solution, Conformable derivatives.

Abstract

This paper explores the solutions of certain fractional partial differential equations using two methods; the first method involves separation of variables, which is a common technique for solving partial differential equations. However, since many equations cannot be separated in this way, the tensor product of Banach spaces method is applied to find the atomic solutions. To solve the resulting ordinary differential equations, the reproducing Kernel Hilbert space method is used to find numerical solutions, which are then used to find the numerical solution of the partial differential equation. The residual errors indicate that this method is effective and powerful. In summary, this paper presents a study on the solutions of certain fractional partial differential equations using two methods and demonstrates the effectiveness of these methods in finding numerical solutions.

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Published

2023-10-30

Issue

Section

Nonlinear Analysis

How to Cite

Numerical Solutions of Some Classes of Partial Differential Equations of Fractional Order. (2023). European Journal of Pure and Applied Mathematics, 16(4), 2132-2144. https://doi.org/10.29020/nybg.ejpam.v16i4.4928