The solution of the sine-Gordon equation using the method of lines

International Journal of Computer Mathematics

Volumn 61, Issue 3-4, 1996, Pages 271-292

  Bratsos, A G ^a,b   Twizell, E H ^a  

^a BRUNEL UNIVERSITY   (United Kingdom)

^b UNIVERSITY OF WEST ATTICA   (Greece)

Author keywords

Global extrapolation; Method of lines; Rational approximants; Recurrence relation; Sine Gordon equation; Solution wave

Indexed keywords

APPROXIMATION THEORY; BOUNDARY VALUE PROBLEMS; CONVERGENCE OF NUMERICAL METHODS; ERROR ANALYSIS; FINITE DIFFERENCE METHOD; MATRIX ALGEBRA; NUMERICAL ANALYSIS; NUMERICAL METHODS;

GLOBAL EXTRAPOLATION; HYPERBOLIC EQUATION; INITIAL VALUE PROBLEM; MATRIX EXPONENTIAL TERM; METHOD OF LINES; RATIONAL APPROXIMANTS; RECURRENCE RELATION; SINE GORDON EQUATION; SOLUTION WAVE;

NONLINEAR EQUATIONS;

EID: 0030413750     PISSN: 00207160     EISSN: None     Source Type: Journal    
DOI: 10.1080/00207169608804516     Document Type: Article

References (4)

1. Argyris, J. and Haase, M. (1987). An engineer's guide to soliton phenomena: application of the finite element method. Computer Methods in Applied Mechanics and Engineering, 61, 71-122.
2. Bratsos, A. (1993). Numerical Solutions of Nonlinear Partial Differential Equations, Ph.D. Thesis, Brunel University.
3. Evans, D. J. and Roomi, A. S. (1990). The numerical solution of the sine-Gordon partial differential equation by the AGE Method, Intern. J. Computer Math., 37, 79-88.
4. Khaliq, A. Q. M. and Twizell, E. H. (1989). Global extrapolation of numerical methods for initial-value problems, Applied Mathematics and Computation, 31, 148-160.