Population dynamics between a prey and a predator using spectral collocation method

DOI10.1142/S1793524519500499zbMath1422.65291OpenAlexW2948794593WikidataQ114071722 ScholiaQ114071722MaRDI QIDQ5228123

Rajeswari Seshadri, Şuayip Yüzbaşı, Sagithya Thirumalai

Publication date: 9 August 2019

Published in: International Journal of Biomathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793524519500499

zbMATH Keywords

error estimationLegendre polynomialJacobi polynomialChebyshev

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Spectral methods applied to problems in fluid mechanics (76M22) Population dynamics (general) (92D25) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Best approximation, Chebyshev systems (41A50) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Integro-partial differential equations (35R09) Biology, chemistry, medicine (aspects of mathematics education) (97M60)

Cites Work

• A hybrid numerical scheme for the numerical solution of the Burgers' equation
• A composite numerical scheme for the numerical simulation of coupled Burgers' equation
• Legendre spectral collocation method for the solution of the model describing biological species living together
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• Coexistence of species competing for shared resources
• Single term Walsh series method for the system of nonlinear delay Volterra integro-differential equations describing biological species living together
• Solving the problem of biological species living together by Adomian decomposition method
• A numerical scheme based on weighted average differential quadrature method for the numerical solution of Burgers' equation
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