Efficient numerical algorithms for close estimation of critical parameters and quenching times in singular parabolic problems

DOI10.1016/S0362-546X(97)00361-1zbMath0897.35042MaRDI QIDQ4374925

John W. Mooney

Publication date: 26 January 1998

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

degeneracyquenching timestridiagonal matrix operator

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Reaction-diffusion equations (35K57) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Cites Work

• Continuous data dependence, regularization, and a three lines theorem for the heat equation with data in a space-like direction
• The dependence of critical parameter bounds on the monotonicity of a Newton sequence
• Solution of Emden-type problems using accurate, efficient discretisation schemes
• Quenching phenomena for singular nonlinear parabolic equations
• Quenching for Semilinear Singular Parabolic Problems
• Approximation Methods for Nonlinear Problems with Application to Two-Point Boundary Value Problems
• A unified approach to the solution of certain classes of nonlinear boundary value problems using monotone iterations
• Numerical schemes for degenerate boundary value problems
• Existence and Error Estimates for Solutions of a Discrete Analog of Nonlinear Eigenvalue Problems
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