A subdivision approach to the construction of approximate solutions of boundary-value problems with deviating arguments
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Abstract
Using the ideas employed in the construction of subdivision algorithms, we offer here a high-accuracy algorithm to compute numerical solutions for two point boundary-value problems of differential equations with deviating arguments. Numerical examples are included to demonstrate the fast convergence and high accuracy of the algorithm. This paper is a further development to our previous works for solving various types of boundary-value problems. © 1998 Elsevier Science Ltd. All rights reserved.
Keywords
Approximation, Boundary-value problem, Delay differential equation, Interpolation, Iterative method, Method of collocation, Subdivision algorithm
Source Title
Computers and Mathematics with Applications
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Date
1998-06
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Article