Comparison Between Different Numerical Methods for Discretization of PDEs - A Short Review

Journal Article · Thu Sep 30 00:00:00 EDT 2010 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3498547· OSTI ID:21428612

Mehra, Mani; Patel, Nutan; Kumar, Rahul ^[1]

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1. Indian Institute of Technology Delhi, Hauz Khas, New Delhi-110116 (India)

We compare three well known methods for solving the PDEs such as Finite Difference Method (FDM), Spectral Method, Wavelet Galerkin Method (WGM). We test all these methods on Advection Equation and Klein-Gordon Equation. We plot comparison and error graphs using MATLAB.

• OSTI ID: 21428612
• Journal Information: AIP Conference Proceedings, Vol. 1281, Issue 1; Conference: ICNAAM 2010: International conference of numerical analysis and applied mathematics 2010, Rhodes (Greece), 19-25 Sep 2009; Other Information: DOI: 10.1063/1.3498547; (c) 2010 American Institute of Physics; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ADVECTION
COMPARATIVE EVALUATIONS
ERRORS
FINITE DIFFERENCE METHOD
KLEIN-GORDON EQUATION
NONLINEAR PROBLEMS
REVIEWS
SOLITONS
CALCULATION METHODS
DIFFERENTIAL EQUATIONS
DOCUMENT TYPES
EQUATIONS
EVALUATION
FIELD EQUATIONS
ITERATIVE METHODS
MASS TRANSFER
MATHEMATICAL SOLUTIONS
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
QUASI PARTICLES
WAVE EQUATIONS