The decomposition method for ordinary differential equations with discontinuities

In this paper, the decomposition method is applied to the Initial Value Problem (IVP) for ordinary differential equations with discontinuities for both linear and nonlinear cases.

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Bibliographic Details
Published inApplied mathematics and computation Vol. 131; no. 2; pp. 245 - 251
Main Authors CASASUS, Luis, AL-HAYANI, Waleed
Format Journal Article
LanguageEnglish
Published New York, NY Elsevier Inc 25.09.2002
Elsevier
Subjects
Adomian's polynomials
Decomposition method
Exact sciences and technology
Heaviside function
Initial Value Problems (IVP)
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Ordinary differential equations
Partial differential equations, initial value problems and time-dependant initial-boundary value problems
Sciences and techniques of general use
Adomian's polynomials
Initial Value Problems (IVP)
Heaviside function
Decomposition method
Numerical analysis
Adomian polynomial
Linear equation
Differential equation
Initial value problem
Partial differential equation
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Summary:In this paper, the decomposition method is applied to the Initial Value Problem (IVP) for ordinary differential equations with discontinuities for both linear and nonlinear cases.
ISSN:0096-3003
1873-5649
DOI:10.1016/S0096-3003(01)00142-4