Numerical Solution of Singular Perturbation Problems Via Deviating Argument and Exponential Fitting
نویسندگان
چکیده
منابع مشابه
Numerical solution of variational problems via Haar wavelet quasilinearization technique
In this paper, a numerical solution based on Haar wavelet quasilinearization (HWQ) is used for finding the solution of nonlinear Euler-Lagrange equations which arise from the problems in calculus of variations. Some examples of variational problems are given and outcomes compared with exact solutions to demonstrate the accuracy and efficiency of the method.
متن کاملNumerical Solution of General Singular Perturbation Boundary Value Problems Based on Adaptive Cubic Spline
We use adaptive cubic spline functions to develop a numerical method for solving a class of singular perturbation two-point boundary value problems. The scheme derived in this method is second order accurate. Convergence of the method is shown. The resulting linear system of equations has been solved by using a tri-diagonal solver. Numerical examples are given to show the applicability and effi...
متن کاملVariable Step/Order Generalized Upwind Methods for the Numerical Solution of Second Order Singular Perturbation Problems
We propose a simple and quite efficient code to solve singular perturbation problems when the perturbation parameter ǫ is very small. The code is based on generalized upwind methods of order ranging from 4 to 10 and uses highly variable stepsize to fit the boundary regions with relatively few points. An extensive numerical test section shows the effectiveness of the proposed technique on linear...
متن کاملSolution of Singular Perturbation Problems via the Domain Decomposition Method on Serial and Parallel Computers
Domain decomposition methods for the solution of semi-linear selfadjoint and non-selfadjoint singularly perturbed di erential equations are considered. An iterative domain decomposition algorithm suitable for parallelization is described and convergence of the algorithm is established. The implementation on a shared memory multiprocessor is described and numerical examples are presented to demo...
متن کاملAsymptotic - Numerical Method for Third-Order Singular Perturbation Problems
In this paper, a class of third order singularly perturbed boundary value problems with suitable boundary conditions is considered. The third order boundary value problem is transformed to asymptotically equivalent second order boundary value problem. This problem is solved efficiently by using fitted Numerov method. Linear and non-linear examples are solved to illustrate the method and relativ...
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: American Journal of Computational and Applied Mathematics
سال: 2012
ISSN: 2165-8935
DOI: 10.5923/j.ajcam.20120202.09