Accelerated monotone scheme for finite difference equations concerning steady-state prey-predator interactions

DOI10.1016/0377-0427(86)90004-XzbMath0607.65061WikidataQ115599061 ScholiaQ115599061MaRDI QIDQ1085584

Diego A. Murio, Anthony W. Leung

Publication date: 1986

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Newton's methodnumerical examplesconvergence accelerationquadratic convergencesystemmonotone schemesemilinearVolterra-Lotka equationsprey-predator interactions with diffusion

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12)

Related Items (6)

Accelerated monotone iterations for numerical solutions of nonlinear elliptic boundary value problems ⋮ Numerical methods for fourth-order nonlinear elliptic boundary value problems ⋮ A modified accelerated monotone iterative method for finite difference reaction-diffusion-convection equations ⋮ On accelerated monotone iterations for numerical solutions of semilinear elliptic boundary value problems ⋮ Higher-order monotone iterative methods for finite difference systems of nonlinear reaction-diffusion-convection equations ⋮ Nonstationary monotone iterative methods for nonlinear partial differential equations

Cites Work

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• Monotone scheme for finite difference equations concerning steady-state prey-predator interactions
• Monotone schemes for semilinear elliptic systems related to ecology

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