Numerical solution of generalized Burgers-Huxley equations using wavelet based lifting schemes
Creators
- 1. Department of Mathematics, Government First Grade College, Chikodi – 591201, India
Description
Nonlinear partial discriminational equations are extensively studied in Applied Mathematics and Physics. The generalized Burgers- Huxley equations play important places in different nonlinear drugs mechanisms. In this paper, we presented numerical solution of generalized Burgers-Huxley equations by Lifting schemes using different wavelet filter coefficients. The numerical solution obtained by this scheme is compared with the exact solution to demonstrate the accuracy and also faster convergence in lesser computational time as compared with existing scheme. Some of the problems are taken to demonstrate the applicability and of validity the scheme.
Files
Numerical solution of generalized...pdf
Files
(989.6 kB)
Name | Size | Download all |
---|---|---|
md5:f9bfc45053432ff4937bce645304eb55
|
989.6 kB | Preview Download |
Additional details
References
- Kyrychko Y. N., et al., Persistence of Traveling Wave Solution of a Fourth Order Diffusion System, Journal Computation and Applied Mathematics, 176 (2) (2005), 433-443
- Hashemi M. S., Baleanu D., Barghi H., Singularly perturbed Burgers-Huxley equation by a meshless method, Thermal Science, 21(6B) (2017), 2689-2698
- He J. H., Homotopy perturbation method: a new nonlinear analytical technique, Applied Mathematics and Computation135 (2003), 73-79
- Darvishi M. T., Kheybari S., Khani F., Spectral Collocation Method and Darvishi's Preconditionings to Solve the Generalized Burgers-Huxley Equation. Communications in Nonlinear Science and Numerical Simulation, 13 (2008), 2091- 2103.
- Gao, H., Zhao, R.X., New Exact Solutions to the Generalized Burgers-Huxley Equation. Applied Mathematics and Computation, 217 (2010), 1598-1603
- Celik I.,Haar wavelet method for solving generalized Burgers–Huxley equation, Arab Journal of Mathematical Sciences, 18 (2012), 25–37.
- Shiralashetti S. C., Angadi L. M., Deshi A. B., Numerical solution of some class of nonlinear partial differential equations using wavelet based full approximation scheme, International Journal of Computational Methods, 17(6) (2020), 1950015 (23 pages).
- Bujurke N. M., Salimath C. S., Kudenatti R. B., Shiralashetti S. C., A fast wavelet- multigrid method to solve elliptic partial differential equations, Applied Mathematics and Computation, 185(1) (2007), 667-680.
- Bujurke N. M., Salimath C. S., Kudenatti R. B., Shiralashetti S. C., Wavelet-multigrid analysis of squeeze film characteristics of poroelastic bearings, Journal of Computational and Applied Mathematics, 203(2007), 237–248
- Pereira S. L., Verardi S. L. L., Nabeta S. I., A wavelet-based algebraic multigrid preconditioner for sparse linear systems, Applied Mathematics and Computation, 182 (2006), 1098-1107.