Fourth order Chebyshev methods with recurrence relation. (English) Zbl 1009.65048

Abdulle, Assyr

SIAM J. Sci. Comput. 23, No. 6, 2041-2054 (2002).

MSC:

65L06	Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations
65L05	Numerical methods for initial value problems
34A34	Nonlinear ordinary differential equations and systems, general theory
35K55	Nonlinear parabolic equations
65L20	Stability and convergence of numerical methods for ordinary differential equations
65M20	Method of lines for initial value and initial-boundary value problems involving PDEs
65M12	Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
65Y15	Packaged methods for numerical algorithms

Keywords:

stiff ordinary differential equations; explicit Runge-Kutta methods; orthogonal polynomials; parabolic partial differential equations; numerical examples; Chebyshev methods; stability; code ROCK4

Software:

RKC