Collection-based numerical method for multi-order fractional integro-differential equations
عنوان مقاله: Collection-based numerical method for multi-order fractional integro-differential equations
شناسه ملی مقاله: JR_IJNAO-13-27_002
منتشر شده در در سال 1402
شناسه ملی مقاله: JR_IJNAO-13-27_002
منتشر شده در در سال 1402
مشخصات نویسندگان مقاله:
G. Ajileye - Department of Mathematics and Statistics, Federal University Wukari, Taraba State, Nigeria.
T. Oyedepo - Federal College of Dental Technology and Therapy, Enugu, Nigeria.
L. Adiku - Department of Mathematics and Statistics, Federal University Wukari, Taraba State, Nigeria.
J. Sabo - Department of Mathematics, Adamawa State University, Mubi, Nigeria.
خلاصه مقاله:
G. Ajileye - Department of Mathematics and Statistics, Federal University Wukari, Taraba State, Nigeria.
T. Oyedepo - Federal College of Dental Technology and Therapy, Enugu, Nigeria.
L. Adiku - Department of Mathematics and Statistics, Federal University Wukari, Taraba State, Nigeria.
J. Sabo - Department of Mathematics, Adamawa State University, Mubi, Nigeria.
In this paper, the standard collocation approach is used to solve multi-order fractional integro-differential equations using Caputo sense. We obtain the integral form of the problem and transform it into a system of linear alge-braic equations using standard collocation points. The algebraic equations are then solved using the matrix inversion method. By substituting the algebraic equation solutions into the approximate solution, the numerical result is obtained. We establish the method’s uniqueness as well as the convergence of the method. Numerical examples show that the developed method is efficient in problem-solving and competes favorably with the existing method.
کلمات کلیدی: Integro-differential equations, Collocation method, Fredholm-Volterra equations, Multi- order
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1795829/