Microsoft Word - Numerical Solution of Extended Block Backward Differentiation Formulae for Solving Stiff ODEs
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چکیده
Abstract—Existing Block Backward Differentiation Formulae (BBDF) of different orders are collected based on their competency and accuracy in solving stiff ordinary differential equations (ODEs). The strategy to fully utilize the formulae is optimized using variable step variable order approach. The improved performances in terms of accuracy and computation time are presented in the numerical results with different sets of test problems. The comparison is made between the proposed method and MATLAB’s suite of ordinary differential equations (ODEs) solvers namely ode15s and ode23s.
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تاریخ انتشار 2012