Generalized taylor matrix method for solving multi-higher nonlinear integro-fractional differential equations of fredholm type

المؤلفون المشاركون

Said, Bzhwin A.
Ahmad, Shazad S.

المصدر

ZANCO Journal of Pure and Applied Sciences

الناشر

جامعة صلاح الدين قسم النشر العلمي

تاريخ النشر

2019-04-30

دولة النشر

العراق

عدد الصفحات

21

التخصصات الرئيسية

العلوم الاجتماعية (متداخلة التخصصات)

الملخص الإنجليزي

In this study, generalized Taylor expansion approach formula is developed for solving approximately a FredholmHammerstein type of multi-higher order nonlinear integro- fractional differential equations with variable coefficients under given mixed conditions.

The fractional derivative is described in the Caputo sense.

Using the collocation points, this new technique depends mainly on transform the nonlinear equation and conditions into the matrix equations which leads to solve a system of nonlinear algebraic equations with unknown generalized Taylor coefficients.

A best algorithm for solving our equation numerically by applying this process has been developed in order to express these solution, programs are written in MatLab.

In addition, the truth and reliability of this method is tested by several illustrative numerical examples are presented to show effectiveness and accuracy of this algorithm.

نوع البيانات

أوراق مؤتمرات

رقم السجل

BIM-894457

• APA
• MLA
• AMA