An extended trapezoidal formula for the diffusion equation in two space dimensions

Computers and Mathematics with Applications

Volumn 42, Issue 1-2, 2001, Pages 157-168

  Chawla, M M ^a   Al Zanaidi, M A ^a  

^a KUWAIT UNIVERSITY   (Kuwait)

Author keywords

Crank Nicolson scheme; Diffusion equation; Extended trapezoidal formula; Nonlinear reaction diffusion equations; Two space dimensions; Unconditional stability

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; INTEGRATION;

EXTENDED TRAPEZOIDAL FORMULA (ETF); TIME INTEGRATION;

NONLINEAR EQUATIONS;

EID: 0035399550     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(01)00140-7     Document Type: Article

References (9)

1. A practical method for numerical evaluation of solutions of partial differential equations of the heat-conduction type
2. An extended trapezoidal formula for the diffusion equation
3. An A-stable extended trapezoidal rule for the numerical integration of ordinary differential equations
4. On spatial adaptivity and interpolation when using the method of lines