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ETDRK4–Chebyshev Collocation for the Generalized Burgers–Huxley Equation: Machine-Precision Benchmarks and a Corrected Exact Solution

2026-04-28

Abstract excerpt

The generalized Burgers–Huxley (gBH) equation arises as a canonical model in nerve-pulse propagation (generalizing the Hodgkin–Huxley/FitzHugh–Nagumo excitable-media framework), in population dynamics with Allee-threshold reaction kinetics, and in nonlinear wave propagation in dispersive media; accurate benchmark solutions are essential for quantitative predictions in these domains. We couple the fourth-order expo...

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Literature Corpus work
d233a8b6-163d-5dcf-bf9f-e12e555c3572
DOI
10.20944/preprints202604.1859.v1
Open publication

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ETDRK4–Chebyshev Collocation for the Generalized Burgers–Huxley Equation: Machine-Precision Benchmarks and a Corrected Exact SolutionDOI 10.20944/preprints202604.1859.v1
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