On the integral equation approach for solution of a Neumann boundary value problem for an elliptic equation with variable coefficients
نویسندگان
چکیده
منابع مشابه
An analytic solution for a non-local initial-boundary value problem including a partial differential equation with variable coefficients
This paper considers a non-local initial-boundary value problem containing a first order partial differential equation with variable coefficients. At first, the non-self-adjoint spectral problem is derived. Then its adjoint problem is calculated. After that, for the adjoint problem the associated eigenvalues and the subsequent eigenfunctions are determined. Finally the convergence ...
متن کاملPositive 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.
متن کاملPositive 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.
متن کاملan analytic solution for a non-local initial-boundary value problem including a partial differential equation with variable coefficients
this paper considers a non-local initial-boundary value problem containing a first order partial differential equation with variable coefficients. at first, the non-self-adjoint spectral problem is derived. then its adjoint problem is calculated. after that, for the adjoint problem the associated eigenvalues and the subsequent eigenfunctions are determined. finally the convergence ...
متن کاملOn the Boundary Integral Equation Method for a Mixed Boundary Value Problem of the Biharmonic Equation
This paper is concerned with weak solution of a mixed boundary value problem for the biharmonic equation in the plane. Using Green’s formula, the problem is converted into a system of Fredholm integral equations for the unknown data on different part of the boundary. Existence and uniqueness of the solutions of the system of boundary integral equations are established in appropriate Sobolev spa...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Application Mathematics and Informatics
سال: 2018
ISSN: 2078-5097
DOI: 10.30970/vam.2018.26.9699