solution of poisson's nonlinear partial differential equation with mixed boundary conditions with finite element method
نویسندگان
چکیده
in this paper a method is presented in details to solve a nonlinear partial differential equation which has many applications in engineering fields. the boundary condition is mixed to be able to define the value of function on its variation on the boundary. examples are given to demonstrate the accuracy and efficiency of the method.
منابع مشابه
Numerical solution of nonlinear fractional Volterra-Fredholm integro-differential equations with mixed boundary conditions
The aim of this paper is solving nonlinear Volterra-Fredholm fractional integro-differential equations with mixed boundary conditions. The basic idea is to convert fractional integro-differential equation to a type of second kind Fredholm integral equation. Then the obtained Fredholm integral equation will be solved with Nystr"{o}m and Newton-Kantorovitch method. Numerical tests for demo...
متن کاملOn the Numerical Solution of One Dimensional Schrodinger Equation with Boundary Conditions Involving Fractional Differential Operators
In this paper we study of collocation method with Radial Basis Function to solve one dimensional time dependent Schrodinger equation in an unbounded domain. To this end, we introduce artificial boundaries and reduce the original problem to an initial boundary value problem in a bounded domain with transparent boundary conditions that involves half order fractional derivative in t. Then in three...
متن کاملMixed Problem with Nonlocal Boundary Conditions for a Third-order Partial Differential Equation of Mixed Type
We study a mixed problem with integral boundary conditions for a third-order partial differential equation of mixed type. We prove the existence and uniqueness of the solution. The proof is based on two-sided a priori estimates and on the density of the range of the operator generated by the considered problem. 2000 Mathematics Subject Classification. 35B45, 35K20, 35M10.
متن کاملMixed Finite Element Methods for Problems with Robin Boundary Conditions
We derive new a-priori and a-posteriori error estimates for mixed nite element discretizations of second-order elliptic problems with general Robin boundary conditions, parameterized by a non-negative and piecewise constant function ε ≥ 0. The estimates are robust over several orders of magnitude of ε, ranging from pure Dirichlet conditions to pure Neumann conditions. A series of numerical expe...
متن کاملFinite Element Solution for Two Dimensional Laplace Equation with Dirichlet Boundary Conditions
The steady state heat distribution in a plane region is modeled by two dimensional Laplace equation. In this paper Galerkin technique has been used to construct Finite Element model for two dimensional steady heat flow problem with Dirichlet boundary conditions in a rectangular domain. Results are then compared with analytic solution to check the accuracy of the developed scheme.
متن کاملExistence and Uniqueness of Positive Solution for 2mth-Order Nonlinear Differential Equation with Boundary Conditions
In this paper, we study the existence and uniqueness of positive solution for 2mth-order nonlinear differential equation with boundary conditions, by using the fixed point theorems on compression and expansion of cones.
متن کاملمنابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
نشریه دانشکده فنیجلد ۴۲، شماره ۴، صفحات ۰-۰
میزبانی شده توسط پلتفرم ابری doprax.com
copyright © 2015-2023