The resolution of non-linear integral equations of the first kind using the decompositional method of Adomian

Kybernetes

Volumn 26, Issue 2-3, 1997, Pages 198-206

  Cherruault, Yves ^a   Seng, Virginie ^a  

^a SORBONNE UNIVERSITÉ   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ADOMIAN; NONLINEAR INTEGRAL EQUATIONS;

INTEGRAL EQUATIONS;

DIFFERENTIATION (CALCULUS); MATHEMATICAL TRANSFORMATIONS; NONLINEAR EQUATIONS; PERTURBATION TECHNIQUES; POLYNOMIALS;

ADOMIAN POLYNOMIALS; DECOMPOSITIONAL METHOD; FREDHOLM EQUATIONS; VOLTERRA EQUATIONS;

EID: 0031357758     PISSN: 0368492X     EISSN: None     Source Type: Journal    
DOI: 10.1108/03684929710163100     Document Type: Article

References (14)

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3. Abbaoui, K. and Cherruault, Y., "Convergence of Adomian's method applied to nonlinear equations", Mathematical and Computer Modelling, Vol. 20 No. 9, 1994, pp. 60-73.
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5. In fact, it is as an equation of the third kind[6], but it may be regarded as a generalization of second-kind integral equations, when K(x,x) does not vanish on [a,b].
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