MODIFIED SPLITTING AND COMPOSITION METHODS BY PHASE-FITTING FOR SIMULATING BIOLOGICAL OSCILLATORS
AbstractA class of modified splitting and composition methods using the phase-fitting properties of the harmonic oscillators are adapted to the numerical simulation of some biological oscillators. The new phase-fitted splitting and composition methods are furnished with a fitting parameter ω. In this paper, we present phase-fitted Lie-Trotter and Strang splitting methods and a phase-fitted triple Jump composition method which are generalization of their prototype methods. The result of the experiments on some biological oscillators show the effectiveness and competence of the modified methods over the prototype methods.
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