Volume 19, Issue 5
First-Order and Second-Order, Chaos-Free, Finite Difference Schemes for Fisher Equation

Geng Sun, Hua Mo Wu & Li Er Wang

J. Comp. Math., 19 (2001), pp. 519-530

Published online: 2001-10

Preview Full PDF 279 2037
Export citation
  • Abstract

A new class of finite difference schemes is constructed for Fisher partial differential equation i.e. the reaction-diffusion equation with stiff source term:au(1-u). The implicit schemes so developed obtain the numerical solutions by solving a single linear algebraic system at each step. The boundness and asymptotic behaviour of numerical solutions obtained by all these schemes are given. The approach constructing the above schemes can be extended to reaction-diffusion equations with other stiff source terms.

  • Keywords

Reaction-diffusion equation Fidelity algorithm

  • AMS Subject Headings

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{JCM-19-519, author = {}, title = {First-Order and Second-Order, Chaos-Free, Finite Difference Schemes for Fisher Equation}, journal = {Journal of Computational Mathematics}, year = {2001}, volume = {19}, number = {5}, pages = {519--530}, abstract = { A new class of finite difference schemes is constructed for Fisher partial differential equation i.e. the reaction-diffusion equation with stiff source term:au(1-u). The implicit schemes so developed obtain the numerical solutions by solving a single linear algebraic system at each step. The boundness and asymptotic behaviour of numerical solutions obtained by all these schemes are given. The approach constructing the above schemes can be extended to reaction-diffusion equations with other stiff source terms. }, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9004.html} }
TY - JOUR T1 - First-Order and Second-Order, Chaos-Free, Finite Difference Schemes for Fisher Equation JO - Journal of Computational Mathematics VL - 5 SP - 519 EP - 530 PY - 2001 DA - 2001/10 SN - 19 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9004.html KW - Reaction-diffusion equation KW - Fidelity algorithm AB - A new class of finite difference schemes is constructed for Fisher partial differential equation i.e. the reaction-diffusion equation with stiff source term:au(1-u). The implicit schemes so developed obtain the numerical solutions by solving a single linear algebraic system at each step. The boundness and asymptotic behaviour of numerical solutions obtained by all these schemes are given. The approach constructing the above schemes can be extended to reaction-diffusion equations with other stiff source terms.
Geng Sun, Hua Mo Wu & Li Er Wang. (1970). First-Order and Second-Order, Chaos-Free, Finite Difference Schemes for Fisher Equation. Journal of Computational Mathematics. 19 (5). 519-530. doi:
Copy to clipboard
The citation has been copied to your clipboard