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Numerical Solution of a Forward-Backward Equation From Physiology |
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PP: 1287-1297 |
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doi:10.18576/amis/110506
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Author(s) |
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M. Filomena Teodoro,
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Abstract |
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| The aim of this paper is to determine the numerical solution of an equation which models the nerve conduction in a
myelinated axon. An appropriate stimulus begins a propagate action potential which travels down the axon. It can be understood as a
traveling wave of voltage. It is proposed a computational approximation for the solution of a forward-backward differential equation
that models nerve conduction. We look for a solution of an equation defined in R, which tends to known values at ±¥. Extending
the approach introduced in [13, 29, 14] for linear case, a numerical method for the solution of problem, adapted to non linear case, is
described. Numerical results using a test problem and a continuation method are computed and analyzed. |
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