Numerical solution of nonlinear Volterra integro-differential equations of arbitrary order by CAS wavelets

Numerical solution of nonlinear Volterra integro-differential equations of arbitrary order by CAS wavelets

A computational method for numerical solution of a nonlinear Volterra integro-differential equation of fractional (arbitrary) order which is based on CAS wavelets and BPFs is introduced. The CAS wavelet operational matrix of fractional integration is derived and used to transform the main equation t...

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Veröffentlicht in:Communications in nonlinear science & numerical simulation 2011-03, Vol.16 (3), p.1216-1226
Hauptverfasser: Saeedi, H., Mohseni Moghadam, M.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Block pulse function
CAS wavelet
Computation
Computer simulation
Fractional calculus
Mathematical analysis
Mathematical models
Nonlinear integro-differential equation
Nonlinearity
Operational matrix
Transforms
Wavelet
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Beschreibung
Zusammenfassung:A computational method for numerical solution of a nonlinear Volterra integro-differential equation of fractional (arbitrary) order which is based on CAS wavelets and BPFs is introduced. The CAS wavelet operational matrix of fractional integration is derived and used to transform the main equation to a system of algebraic equations. Some examples are included to demonstrate the validity and applicability of the technique.
ISSN:1007-5704
1878-7274
DOI:10.1016/j.cnsns.2010.07.017