Solution of nonlinear initial-boundary value problems by sinc collocation-interpolation methods
نویسندگان
چکیده
منابع مشابه
Theoretical analysis of Sinc-collocation methods and Sinc-Nyström methods for initial value problems
A Sinc-collocation method has been proposed by Stenger, and he also gave theoretical analysis of the method in the case of a ‘scalar’ equation. This paper extends the theoretical results to the case of a ‘system’ of equations. Furthermore, this paper proposes more efficient method by replacing the variable transformation employed in Stenger’s method. The efficiency is confirmed by both of theor...
متن کاملA sinc-collocation method for initial value problems
A collocation procedure is developed for the initial value problem u′(t) = f(t, u(t)), u(0) = 0, using the globally defined sinc basis functions. It is shown that this sinc procedure converges to the solution at an exponential rate, i.e., O(M2 exp(−κ √ M)) where κ > 0 and 2M basis functions are used in the expansion. Problems on the domains R = (−∞,∞) and R+ = (0,∞) are used to illustrate the 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...
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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 کاملThe 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...
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ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 1995
ISSN: 0898-1221
DOI: 10.1016/0898-1221(94)00234-c