Numerical Contrivance for Kawahara-Type Differential Equations Based on Fifth-Kind Chebyshev Polynomials
نویسندگان
چکیده
This article proposes a numerical algorithm utilizing the spectral Tau method for numerically handling Kawahara partial differential equation. The double basis of fifth-kind Chebyshev polynomials and their shifted ones are used as functions. Some theoretical results in deriving our proposed algorithm. nonlinear term equation is linearized using new product formula with first derivative polynomials. illustrative examples presented to ensure applicability efficiency Furthermore, compared other methods literature. accuracy
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ژورنال
عنوان ژورنال: Symmetry
سال: 2023
ISSN: ['0865-4824', '2226-1877']
DOI: https://doi.org/10.3390/sym15010138