On a certain boundary problem for Laplace equation

A Free Boundary Problem for 1{laplace Equation

Nvestigation of a Boundary Layer Problem for Perturbed Cauchy-Riemann Equation with Non-local Boundary Condition

Boundary layer problems (Singular perturbation problems) more have been applied for ordinary differential equations. While this theory for partial differential equations have many applications in several fields of physics and engineering. Because of complexity of limit and boundary behavior of the solutions of partial differential equations these problems considered less than ordinary case. In ...

Special boundary approximation methods for laplace equation problems with boundary singularities - Applications to the motz problem

K e y w o r d s E l l i p t i c equation, Boundary singularity, Singular coefficients, Error estimates, Convergence. 1. I N T R O D U C T I O N As in Li [1], we e m p l o y the t e r m boundary approzimation method ( B A M ) for numer ica l m e t h o d s used for t h e so lu t ion of b o u n d a r y va lue p rob lems w h e n the so lu t ion is a p p r o x i m a t e d over t he ent i re d o m a ...

Richardson extrapolation applied to boundary element method results in a Dirichlet problem for the Laplace equation

Positive Solution for Boundary Value Problem of Fractional Dierential Equation

In this paper, we prove the existence of the solution for boundary value prob-lem(BVP) of fractional dierential equations of order q 2 (2; 3]. The Kras-noselskii's xed point theorem is applied to establish the results. In addition,we give an detailed example to demonstrate the main result.