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Zanariah Abdul Majid
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Mathematics

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IMPLEMENTATION OF TWO POINT BLOCK VARIABLE STEPS VARIABLE ORDER CODES FOR SOLVING ORDINARY DIFFERENTIAL EQUATIONS Zanariah Abdul Majid
Proceedings of ICMSA Vol 2, No 1 (2006): Applied Mathematics
Publisher : Proceedings of ICMSA

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Abstract

The efficient codes are developed for solving Initial Value Problems (IVPs) of first order Ordinary Differential Equations (ODEs) using variable step size and order. The codes will contain the 2-point one block fully implicit block method of order 5, the 2-point two block fully implicit block method of order 7 and the 2-point three block fully implicit block method of order 9. These methods will estimate the numerical solution at two equally spaced points simultaneously within a block. The performances of the codes will be compared in terms of maximum error, total number of steps and execution times with the code 2PVSO in Omar [7].
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