Two Sixth-order Compact Finite Difference Schemes for the Extended Fisher-Kolmogorov Equation.
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| Title: | Two Sixth-order Compact Finite Difference Schemes for the Extended Fisher-Kolmogorov Equation. |
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| Authors: | Jinming Zuo1 zuojinming@sdut.edu.cn |
| Source: | Engineering Letters. Jan2026, Vol. 34 Issue 1, p419-428. 10p. |
| Subjects: | Numerical solutions to equations, Discretization methods, Boundary value problems, Partial differential equations, Numerical analysis, Iterative methods (Mathematics) |
| Abstract: | In this article, we construct two sixth-order accuracy compact finite difference schemes to solve the extended Fisher-Kolmogorov (EFK) equation with periodic initial boundary conditions. Priori estimates and unique solvability of numerical solutions are discussed in detail. The unconditionally stability and convergence of these two difference schemes are also proved. The numerical tests show the efficiency of the present schemes. [ABSTRACT FROM AUTHOR] |
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| Database: | Engineering Source |
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