The numerical solution of a nonlinear system of second-order boundary value problems using the sinc-collocation method
نویسندگان
چکیده
منابع مشابه
The numerical solution of a nonlinear system of second-order boundary value problems using the sinc-collocation method
The sinc-collocation method is presented for solving a nonlinear system of second-order boundary value problems. Some properties of the sinc-collocation method required for our subsequent development are given and are utilized to reduce the computation of solution of the system of second-order boundary value problems to some algebraic equations. Numerical examples are included to demonstrate th...
متن کاملSinc-Collocation Method for Solving Linear and Nonlinear System of Second-Order Boundary Value Problems
Sinc methods are now recognized as an efficient numerical method for problems whose solutions may have singularities, or infinite domains, or boundary layers. This work deals with the sinc-collocation method for solving linear and nonlinear system of second order differential equation. The method is then tested on linear and nonlinear examples and a comparison with B-spline method is made. It i...
متن کاملA Sinc-Collocation Method for Second-Order Boundary Value Problems of Nonlinear Integro-Differential Equation
1Department of Mathematics, Alzahra University, Tehran, Iran 2Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan 87317-51167, Iran (Received November07, 2011, accepted March 1, 2012) Abstract. The sinc-collocation method is presented for solving second-order boundary value problems of nonlinear integro-differential equation. The method is effective...
متن کاملPatched Segmented Collocation Techniques for the Numerical Solution of Second Order Boundary Value Problems
This paper deals with the numerical solutions of boundary value problems by patched segmented collocation method. The method examined the numerical solutions of boundary value problems after the whole intervals of consideration have been partitioned into various sub-intervals and the solutions are sought in the various subintervals and then matched together using Chebyshev polynomials as the ba...
متن کاملA numerical approach to solve eighth order boundary value problems by Haar wavelet collocation method
In this paper a robust and accurate algorithm based on Haar wavelet collocation method (HWCM) is proposed for solving eighth order boundary value problems. We used the Haar direct method for calculating multiple integrals of Haar functions. To illustrate the efficiency and accuracy of the concerned method, few examples are considered which arise in the mathematical modeling of fluid dynamics an...
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: Mathematical and Computer Modelling
سال: 2007
ISSN: 0895-7177
DOI: 10.1016/j.mcm.2007.02.002