|
|
|
|
A Finite Difference Method for the Smooth Solution of Linear Volterra Integral Equations
|
|
|
|
|
|
|
|
نویسنده
|
Jalalvand M. ,Jazbi B. ,Mokhtarzadeh M. R.
|
|
منبع
|
international journal of nonlinear analysis and applications - 2013 - دوره : 4 - شماره : 2 - صفحه:1 -10
|
|
چکیده
|
The present paper proposes a fast numerical method for the linear volterra integral equations with regular and weakly singular kernels having smooth solutions. this method is based on the approximation of the kernel, to simplify the integral operator and then discretization of the simplified operator using a forward difference formula. to analyze and verify the accuracy of the method, we examine sample and benchmark problems with known exact solutions.
|
|
کلیدواژه
|
Integral Equation ,Linear Integral Equation ,Weakly Singular Volterra.
|
|
آدرس
|
shahid chamran university of ahvaz, Faculty of Mathematical Sciences and Computer, Department of Mathematics, ایران, iran university of science and technology, Department of Mathematics, ایران, Institute for Research in Fundamental Sciences, School of Mathematics, ایران
|
|
پست الکترونیکی
|
mrmokhtarzadeh@ipm.ir, mrmokhtarzadeh@gmail.com
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Authors
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|