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- Title
Application of Taylor-Padé technique for obtaining approximate solution for system of linear Fredholm integro-differential equations.
- Authors
Khader, M. M.
- Abstract
In this article, we introduce a modification of the Taylor matrix method using Pad'e approximation to obtain an accurate solution of linear system of Fredholm integro-differential equations (FIDEs). This modification is based on, first, taking truncated Taylor series of the functions and then substituting their matrix forms into the given equations. Thereby the equation reduces to a matrix equation, which corresponds to a system of linear algebraic equations with unknown Taylor coefficients. Finally, we use Pad'e approximation to obtain an accurate numerical solution of the proposed problem. To demonstrate the validity and the applicability of the proposed method, we present some numerical examples. A comparison with the standard Taylor matrix method is given.
- Subjects
APPROXIMATION theory; LINEAR systems; NUMERICAL solutions to integro-differential equations; LINEAR algebra; FREDHOLM equations
- Publication
Applications & Applied Mathematics, 2017, Vol 12, Issue 1, p392
- ISSN
1932-9466
- Publication type
Article