Using the Fourier series as a projection in the Galerkin method, we approach the solution of the Cauchy singular integral equation. This study is carried in \(L^2\). Numerical examples are developped to show the effectiveness of this method
AbstractWe investigate a method for the numerical evaluation of integrals over [-1,1] of functions o...
We consider a convolution type equation in a semi-strip for the functions belonging to the Hardy-Smi...
date de redaction: 2004An approximation Ansatz for the operator solution, $U(z',z)$, of a hyperbolic...
redaction 2004/2005An approximation Ansatz for the operator solution, $U(z',z)$, of a hyperbolic fir...
In this thesis, the exact solutions of the characteristic singular integral equation of Cauchy type...
This paper deals with extended solutions of a system of nonlinear integro-differential equations. Th...
AbstractThe authors propose a simple numerical method to approximate the solution of CSIE. The conve...
2010 Mathematics Subject Classification: 41A25, 41A10.The aim of this note is to present moduli of s...
In this work, we give conditions that guarantee the existence and the uniqueness of the solution of ...
AbstractThe Sivashinsky equation is a nonlinear evolutionary equation of fourth order in space. In t...
In this paper, several direct and inverse theorems are proved concerningthe approximation of one-var...
AbstractAn approximation Ansatz for the solution operator, U(z′,z), of a hyperbolic first-order pseu...
Abstract We begin by proposing a regularization procedure for solving some singular integral equatio...
In this paper, we apply Daftardar-Jafari method (DJM) to obtain approximate solutions of the nonline...
The paper presents an algorithm of adaptation by successive mesh regeneration and its application to...
AbstractWe investigate a method for the numerical evaluation of integrals over [-1,1] of functions o...
We consider a convolution type equation in a semi-strip for the functions belonging to the Hardy-Smi...
date de redaction: 2004An approximation Ansatz for the operator solution, $U(z',z)$, of a hyperbolic...
redaction 2004/2005An approximation Ansatz for the operator solution, $U(z',z)$, of a hyperbolic fir...
In this thesis, the exact solutions of the characteristic singular integral equation of Cauchy type...
This paper deals with extended solutions of a system of nonlinear integro-differential equations. Th...
AbstractThe authors propose a simple numerical method to approximate the solution of CSIE. The conve...
2010 Mathematics Subject Classification: 41A25, 41A10.The aim of this note is to present moduli of s...
In this work, we give conditions that guarantee the existence and the uniqueness of the solution of ...
AbstractThe Sivashinsky equation is a nonlinear evolutionary equation of fourth order in space. In t...
In this paper, several direct and inverse theorems are proved concerningthe approximation of one-var...
AbstractAn approximation Ansatz for the solution operator, U(z′,z), of a hyperbolic first-order pseu...
Abstract We begin by proposing a regularization procedure for solving some singular integral equatio...
In this paper, we apply Daftardar-Jafari method (DJM) to obtain approximate solutions of the nonline...
The paper presents an algorithm of adaptation by successive mesh regeneration and its application to...
AbstractWe investigate a method for the numerical evaluation of integrals over [-1,1] of functions o...
We consider a convolution type equation in a semi-strip for the functions belonging to the Hardy-Smi...
date de redaction: 2004An approximation Ansatz for the operator solution, $U(z',z)$, of a hyperbolic...