The quasilinearization method in the system of reaction-diffusion equations

DOI10.1016/S0096-3003(97)10138-2zbMath0943.65108OpenAlexW1972548947MaRDI QIDQ1294338

Jiahui Jiang, Aghalaya S. Vatsala

Publication date: 10 May 2000

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

Full work available at URL: https://doi.org/10.1016/s0096-3003(97)10138-2

zbMATH Keywords

convergencelower and upper solutionsmethod of linesquasilinearizationsystem of reaction-diffusion equationsPeaceman-Rachford ADI method

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical methods for initial value problems involving ordinary differential equations (65L05) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (2)

On extending the quasilinearization method to higher order convergent hybrid schemes using the spectral homotopy analysis method ⋮ Numerical investigation of generalized quasilinearization method for reaction diffusion systems

Cites Work

• Further generalization of generalized quasilinearization method
• Quasilinearization and invariant imbedding. With applications to chemical engineering and adaptive control
• Methods of nonlinear analysis. Vol. II
• Nonlinear elliptic boundary-value problems in unbounded domains
• Positive solutions for nonlinear parabolic second initial boundary value problems
• Extension of the method of generalized quasilinearization for second order boundary value problems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The quasilinearization method in the system of reaction-diffusion equations