Solving Differential Equations by Using a Combination of the First Kind Chebyshev Polynomials and Adomian Decomposition Method

الموضوعات : فصلنامه ریاضی

hasan barzegar kelishami ¹ (Department of Mathematics‎, ‎Islamic Azad University‎, ‎Central Tehran Branch‎, ‎Tehran‎, ‎Iran)

تاريخ الإرسال : 11 الأربعاء , ربيع الأول, 1439 تاريخ التأكيد : 03 الثلاثاء , ذو الحجة, 1439 تاريخ الإصدار : 12 الأربعاء , صفر, 1439

الکلمات المفتاحية: Adomian decomposition method, Polynomials Chebyshev, Initial value problems, Best polynomial approximation,

ملخص المقالة :

In this paper, we are going to solve a class of ordinary differential equations that its source term are rational functions. We obtain the best approximation of source term by Chebyshev polynomials of the first kind, then we solve the ordinary differential equations by using the Adomian decomposition method