سنطبق في هذا العمل طريقة دوال سبلاين غير الحدودية من الدرجة الخامسة
لحل معادلة فولتيرا التكاملية الخطية من النوع الثاني ذات النواة الشاذة الضعيفة
حيث قمنا بتطبيق أمثلة عددية لتوضيح هذه الطريقة و مقارنة نتائجها مع نتائج
طرق عددية أخرى .
In this work , The fifth order non-polynomial spline functions is
used to solve linear volterra integral equations with weakly
singular kernel .
Numerical examples are presented to illustrate the applications
of this method and to compare the computed results with
other numerical methods.
References used
COLLINS,P.j 2006-Differential and Integral equations. Oxford University Press Inc , New York
DIOGO,T , FORD, N.J , LIMA,P and VALTCHEV,S 2006- Numerical method for a Volterra Integral Equation with Non- Smooth Solutions ,Journal of Computational And Applied Mathematics, pp. 412-423
DIOGO,T , LIMA,P 2008-Superconvergence of collocation methods for a class of weakly singular volterra integral equations ,Journal of Computational And Applied Mathematics, pp. 307-316
In this paper, the numerical solution of general linear fifth-order boundary-value problem (BVP) is considered. This problem is transformed into three initial value problems (IVPs) and then spline functions with four collocation points are applied to
In this article, we propose a powerful method called
homotopy perturbation method (HPM) for obtaining the
analytical solutions for an non-linear system of partial
differential equations. We begin this article by apply HPM
method for an important models of linear and non-linear
partial differential equations.
In this paper, we present a numerical algorithm for solving linear integro differential Volterra-Friedholm equations by using spline polynomials of degree ninth with six collocation points. The Fredholm-Volterra equation is converted into a system of
This research studies solving the linear second order difference
equation with variable coefficients.
For solving this equation we use two theorems and prove these theorems as well
as we use some definitions and main concepts .
In this article, powerful approximate analytical
methods, called Adomian decomposition method and
variational iteration method are introduced and applied to
obtaining the approximate analytical solutions for an
important models of linear and non-