Numerical Solution of Steady-State Free Boundary Problems using the Singular Boundary Method
نویسندگان
چکیده
منابع مشابه
CAS WAVELET METHOD FOR THE NUMERICAL SOLUTION OF BOUNDARY INTEGRAL EQUATIONS WITH LOGARITHMIC SINGULAR KERNELS
In this paper, we present a computational method for solving boundary integral equations with loga-rithmic singular kernels which occur as reformulations of a boundary value problem for the Laplacian equation. Themethod is based on the use of the Galerkin method with CAS wavelets constructed on the unit interval as basis.This approach utilizes the non-uniform Gauss-Legendre quadrature rule for ...
متن کاملNumerical Solution of Singularly Perturbed Two-Point Singular Boundary Value Problems Using Differential Quadrature Method
This paper presents the application of Differential Quadrature Method (DQM) for finding the numerical solution of singularly perturbed two point singular boundary value problems. The DQM is an efficient discretization technique in solving initial and/or boundary value problems accurately using a considerably small number of grid points. This method is based on the approximation of the derivativ...
متن کاملA Consistent and Accurate Numerical Method for Approximate Numerical Solution of Two Point Boundary Value Problems
In this article we have proposed an accurate finite difference method for approximate numerical solution of second order boundary value problem with Dirichlet boundary conditions. There are numerous numerical methods for solving these boundary value problems. Some these methods are more efficient and accurate than others with some advantages and disadvantages. The results in experiment on model...
متن کاملNumerical solution of a class of singular free boundary problems involving the m-Laplace operator
s of IWANASP, September 10 – 12, 2008, Ericeira, Portugal NUMERICAL SOLUTION OF A CLASS OF SINGULAR FREE BOUNDARY PROBLEMS INVOLVING THE m-LAPLACE OPERATOR LUÍSA MORGADO 1 CEMAT ,Instituto Superior Técnico, Universidade de Trás-os-Montes e Alto Douro 1 Av. Rovisco Pais, 1049-001 Lisboa, 2 Quinta de Prados, 5001-811 Vila Real, Portugal E-mail: [email protected] PEDRO LIMA CEMAT, Instituto Superior ...
متن کاملcas wavelet method for the numerical solution of boundary integral equations with logarithmic singular kernels
in this paper, we present a computational method for solving boundary integral equations with loga-rithmic singular kernels which occur as reformulations of a boundary value problem for the laplacian equation. themethod is based on the use of the galerkin method with cas wavelets constructed on the unit interval as basis.this approach utilizes the non-uniform gauss-legendre quadrature rule for ...
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: Advances in Applied Mathematics and Mechanics
سال: 2021
ISSN: 2070-0733,2075-1354
DOI: 10.4208/aamm.oa-2019-0188