Proposed Method for Solving Quasi-Linear Fractional Partial
Differential Equations Using α-Fractional Derivative
الباحث الأول:
Shaymaa Y. Alkufi1
الباحثين الآخرين:
Mohammed M. Salih2, Khadiga Mussa3,Ala Hasan Al-Lahaibat4, Mohammed S. Mechee
المجلة:
Journal of Computational Analysis and Applications
تاريخ النشر:
8 نوفمبر، 2024
مختصر البحث:
STRACTThe fractional partial differential equation (FPDE) plays a big role in engineering and applied science. Finding the solutions to the FPDEs is a significant subject and a wide field. The objective of this article is to use the…
STRACTThe fractional partial differential equation (FPDE) plays a big role in engineering and applied science. Finding the solutions to the FPDEs is a significant subject and a wide field. The objective of this article is to use the α-fractional derivative definition for converting the FPDE to a partial differential equation (PDE) and then, weuse the method of lines for solving a quasi-linear PDE. The characteristic of the α-fractional derivative definition is appropriate, significant, and powerful.Additionally, the properties of the definition ofα-fractional derivativeare used for converting the quasi-linear (FPDE) to a PDE. Hence, the PDEis converted to a system of ordinary differential equations(ODEs) by using the method of lines(MOL). Some implementations are solved using the proposed method and then,compared with exact or numerical solutions. The test implementations showed that the proposed method agrees well with their solutions. Hence, the algorithm of this method proved tobe efficientand accurate
