Generalized trapezoidal formulas for convection-diffusion equations

DOI10.1080/00207169908804841zbMath0941.65081OpenAlexW2011184843MaRDI QIDQ4702129

M. M. Chawla, M. A. Al-Zanaidi, David J. Evans

Publication date: 20 July 2000

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207169908804841

zbMATH Keywords

numerical examplesconvection-diffusion equationsviscous Burgers equationssecond-order difference schemetrapezoidal rule time integrator

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for second-order parabolic equations (35K15)

Related Items (12)

Lod generalized trapezoidal formula schemes for parabolic differential equations in two space dimensions ⋮ An accurate solution for the generalized Black-Scholes equations governing option pricing ⋮ Generalized Trapezoidal Formulas for the Symmetric Heat Equation in Polar Coordinates ⋮ High-order compact solution of the one-dimensional heat and advection-diffusion equations ⋮ Redefined cubic B-splines collocation method for solving convection-diffusion equations ⋮ Cubic B-splines collocation method for solving nonlinear parabolic partial differential equations with Neumann boundary conditions ⋮ Novel cubic trigonometric B-spline approach based on the Hermite formula for solving the convection-diffusion equation ⋮ A fourth-order method of the convection-diffusion equations with Neumann boundary conditions ⋮ The numerical solution of advection-diffusion problems using new cubic trigonometric B-splines approach ⋮ Generalized trapezoidal formulas for the black–scholes equation of option pricing ⋮ Extended one-step time-integration schemes for convection-diffusion equations ⋮ A class of numerical algorithms based on cubic trigonometric B-spline functions for numerical simulation of nonlinear parabolic problems

Cites Work

• On spatial adaptivity and interpolation when using the method of lines
• Some user-oriented comparisons of adaptive grid methods for partial differential equations in one space dimension
• A class of generalized trapezoidal formulas for the numerical integration of
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