Finite difference solutions for parabolic equations with the time weighting initial conditions

DOI10.1016/0096-3003(94)90165-1zbMath0822.65057OpenAlexW2059394080MaRDI QIDQ1344016

Yan Ping Lin

Publication date: 15 October 1995

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

Full work available at URL: https://doi.org/10.1016/0096-3003(94)90165-1

zbMATH Keywords

performancebackward Euler methodCrank-Nicholson difference schemesnonlinear parabolic initial-boundary value problem

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Complexity and performance of numerical algorithms (65Y20)

Related Items (4)

Crank-Nicolson compact difference schemes and their efficient implementations for a class of nonlocal nonlinear parabolic problems ⋮ Numerical schemes for one-dimensional parabolic equations with nonstandard initial condition. ⋮ The two-level finite difference schemes for the heat equation with nonlocal initial condition ⋮ Three-level techniques for one-dimensional parabolic equation with nonlinear initial condition

Cites Work

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• Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem
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• Theorem about the existence and uniqueness of a solution of a nonlocal abstract cauchy problem in a banach space
• Analytical and Numerical Solutions for a Class of Nonlocal Nonlinear Parabolic Differential Equations
• Determination of an unknown function in a parabolic equation with an overspecified condition
• On non-local problems for parabolic equations
• Theorem about existence and uniqueness of continuous solution of nonlocal problem for nonlinear hyperbolic equation

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