The Journal of Difference Equations and Applications · 2016 · 27 citations · 26 references
Natural SciencesComputational EngineeringPhysicsComputational Fluid DynamicsComputational PhysicsDifferential EquationsConvergence AnalysisFinite Difference MethodsNumerical AlgorithmsNumerical AnalysisNumerical ConvergenceNumerical Methods For Differential EquationsFinite Difference DiscretizationFinite Difference SchemesFinite Difference Solution Of Partial Differential EquationsNumerical Solutions Of Partial Differential EquationsTruncationTruncation ErrorTruncation Error Analysis
In this paper, numerical solution of the Burgers–Huxley (BH) equation is presented based on the nonstandard finite difference (NSFD) scheme. At first, two exact finite difference schemes for BH equation obtained. Moreover an NSFD scheme is presented for this equation. The positivity, boundedness and local truncation error of the scheme are discussed. Finally, the numerical results of the proposed method with those of some available methods compared.
26
An Active Pulse Transmission Line Simulating Nerve Axon
J. Nagumo, S. Arimoto, S. Yoshizawa · Proceedings of the IRE · 1962 · 4.2K citations