Chiang Mai Journal of Science

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In this paper, a 1 point implicit code in the form of Adams Moulton Method is developed for solving a system of ordinary differential equations (ODEs) with variable step size. The existence multistep method involves the computations of the divided differences and integration coefficients in the code when using the variable step size or variable step size and order. The idea of the developed method is to store all the coefficients involved in the code. Therefore, this strategy can avoid the lengthy computation of the coefficients during the implementation of the code as well as to improve the execution time. Numerical results are given to compare the efficiency of the developed method to the 1PVSO method in Omar [1].

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