Numerical solutions for some coupled systems of nonlinear boundary value problems

DOI10.1007/BF01397542zbMath0632.65111OpenAlexW1971603140MaRDI QIDQ1095620

Chia-Ven Pao

Publication date: 1987

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133201

zbMATH Keywords

convergencemonotone sequencesnumerical examplesiterative schemereaction diffusion equationsfinite difference systembiochemical reaction-diffusion systemsVolterra-Lotka model

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Reaction-diffusion equations (35K57) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Physiological, cellular and medical topics (92Cxx)

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A monotone iterative technique for nonlinear fourth order elliptic equations with nonlocal boundary conditions ⋮ Nonlinear elliptic systems in unbounded domains ⋮ NUMERICAL METHODS FOR COUPLED SYSTEMS OF QUASILINEAR ELLIPTIC EQUATIONS WITH NONLINEAR BOUNDARY CONDITIONS ⋮ Monotone methods for a finite difference system of reaction diffusion equation with time delay ⋮ Numerical methods for fourth-order elliptic equations with nonlocal boundary conditions ⋮ Monotone iterations for numerical solutions of nonlinear elliptic partial differential equations ⋮ Numerical methods for fourth-order nonlinear elliptic boundary value problems ⋮ Strongly coupled elliptic systems and applications to Lotka-Volterra models with cross-diffusion ⋮ Monotone enclosure for elliptic and parabolic systems wit nonmonotone nonlinearities ⋮ Monotone finite difference schemes for nonlinear system with mixed quasi-montonicity

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