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A Crank-Nicolson Difference Scheme for Solving a Type of Variable Coefficient Delay Partial Differential Equations

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  • Wei Gu
  • Peng Wang

Abstract

A linearized Crank-Nicolson difference scheme is constructed to solve a type of variable coefficient delay partial differential equations. The difference scheme is proved to be unconditionally stable and convergent, where the convergence order is two in both space and time. A numerical test is provided to illustrate the theoretical results.

Suggested Citation

  • Wei Gu & Peng Wang, 2014. "A Crank-Nicolson Difference Scheme for Solving a Type of Variable Coefficient Delay Partial Differential Equations," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-6, February.
    • Handle: RePEc:hin:jnljam:560567
    DOI: 10.1155/2014/560567
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    Cited by:

    1. Arafat Hussain & Zhoushun Zheng & Eyaya Fekadie Anley, 2020. "Numerical Analysis of Convection–Diffusion Using a Modified Upwind Approach in the Finite Volume Method," Mathematics, MDPI, vol. 8(11), pages 1-21, October.

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