The decomposition method for ordinary differential equations with discontinuities

Applied Mathematics and Computation

Volumn 131, Issue 2-3, 2002, Pages 245-251

  Casasús, Luis ^a   Al Hayani, Waleed ^a  

^a UNIVERSIDAD POLITÉCNICA DE MADRID   (Spain)

Author keywords

Adomian's polynomials; Decomposition method; Heaviside function; Initial Value Problems (IVP)

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; INITIAL VALUE PROBLEMS; NONLINEAR EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; POLYNOMIAL APPROXIMATION;

HEAVISIDE FUNCTIONS;

ORDINARY DIFFERENTIAL EQUATIONS;

EID: 0037174262     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(01)00142-4     Document Type: Article

References (14)

1. A generalization of the method of upper and lower solutions for discontinuous first order problems with nonlinear boundary conditions
2. Discontinuous impulsive differential equations with nonlinear boundary conditions
3. On first order discontinuous differential equations with nonlinear boundary conditions
4. Convergence of Adomian's method applied to differential equations
5. New ideas for proving convergence of decomposition methods
6. Convergence of Adomian's method applied to nonlinear equations
7. Decomposition methods: A new proof of convergence
8. Practical formula for calculation of Adomian's polynomials and application to the convergence of the decomposition method
9. A new algorithm for calculating Adomian polynomials for nonlinear operators