Work

Iterative methods for solving fractional differential equations using non-polynomial splines

Year: 2024

Type: article

Abstract: In this work, a non-polynomial spline function is proposed to solve a linear fractional differential equation where the derivatives are in the Caputo sense. This approach transforms the fractional differential equation into a system of linear equations. The Gauss-Seidel and conjugate gradient methods are used to iteratively solve the linear system. Finally, to validate the method’s accuracy, several numerical examples with known analytical solutions are tested. According to the numerical experiments, the findings are in satisfactory agreement with the exact solutions.

Source: e-Journal of Analysis and Applied Mathematics

DOI: 10.62780/ejaam/2024-003

Authors: Faraidun K. Hamasalh, Gulnar W. Sadiq, Emad S. Salam

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4405929576

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