Numerical schemes for one-dimensional parabolic equations with nonstandard initial condition.

DOI10.1016/S0096-3003(02)00669-0zbMath1033.65068MaRDI QIDQ1412605

Mehdi Dehghan

Publication date: 25 November 2003

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

zbMATH Keywords

numerical experimentsFinite difference schemesCrank-Nicolson implicit formulaExplicit techniquesImplicit methodsNonlocal time weighting initial conditionNonstandard initial condition

Mathematics Subject Classification ID

Heat equation (35K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (10)

Numerical simulation of a one-dimensional water-quality model in a stream using a Saulyev technique with quadratic interpolated initial-boundary conditions ⋮ Simple, accurate, and efficient revisions to MacCormack and Saulyev schemes: high Péclet numbers ⋮ A numerical treatment of nondimensional form of water quality model in a nonuniform flow stream using Saulyev scheme ⋮ Crank-Nicolson compact difference schemes and their efficient implementations for a class of nonlocal nonlinear parabolic problems ⋮ On a non-local problem for a multi-term fractional diffusion-wave equation ⋮ Unconditional stable numerical techniques for a water-quality model in a non-uniform flow stream ⋮ Unnamed Item ⋮ Unnamed Item ⋮ The two-level finite difference schemes for the heat equation with nonlocal initial condition ⋮ Bitsadze–Samarskii type problem for the integro-differential diffusion–wave equation on the Heisenberg group

Cites Work

• Strong maximum principles for parabolic nonlinear problems with nonlocal inequalities together with arbitrary functionals
• Existence of a solution of a Fourier nonlocal quasilinear parabolic problem
• Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem
• Uniqueness of solutions of parabolic semilinear nonlocal-boundary problems
• Finite difference solutions for parabolic equations with the time weighting initial conditions
• An optimum implicit recurrence formula for the heat conduction equation
• Theorem about the existence and uniqueness of a solution of a nonlocal abstract cauchy problem in a banach space
• Strong Maximum and Minimum Principles for Parabolic Problems with Non-local Inequalities
• 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
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Numerical schemes for one-dimensional parabolic equations with nonstandard initial condition.