Pseudo-Spectral Collocation Solution of Nonlinear Time Dependent System of Partial Differential Equations

The pseudo-spectral collocation solution of time dependent nonlinear system of partial differential equations with Dirichlet's boundary conditions is presented in this paper. The nonlinear systems of partial differential equations are reduced to linear form by using quasi-linearization along wi...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Research Journal of Science and Technology Jg. 9; H. 3; S. 467 - 471
Hauptverfasser: Shekara, Chandra G., Vishalakshi, T. N.
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Raipur A&V Publications 01.07.2017
Schlagworte:
Algorithms
Boundary conditions
Chebyshev approximation
Collocation
Differential equations
Dirichlet problem
Error analysis
Finite difference method
Mathematical models
Nonlinear systems
Partial differential equations
Time dependence
ISSN:0975-4393, 2349-2988
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:The pseudo-spectral collocation solution of time dependent nonlinear system of partial differential equations with Dirichlet's boundary conditions is presented in this paper. The nonlinear systems of partial differential equations are reduced to linear form by using quasi-linearization along with the Taylor's series of multi-variables. Then the spectral collocation algorithm is developed by using Lagrange interpolating polynomials as basis of the solution at the Chebyshev-Gauss-Labatto grid points. This algorithm is implemented using MATLAB for test case problems and the results are presented graphically. Error analysis is done by comparing the numerical solution and analytical solution. Solution found by the said method is more accurate compared to the finite difference method with uniform grid points.
Bibliographie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0975-4393
2349-2988
DOI:10.5958/2349-2988.2017.00081.X