Rach, R.; Baghdasarian, A.; Adomian, G. Differential equations with singular coefficients. (English) Zbl 0748.65066 Appl. Math. Comput. 47, No. 2-3, 179-184 (1992). The decomposition method is applied to the solution of special differential equations with singular coefficients such as Legendre’s equation, Chebyshev’s equation, Laguerre’s equation, Bessel’s equation and Hermite’s equation. Reviewer: K.Najzar (Praha) Cited in 11 Documents MSC: 65L10 Numerical solution of boundary value problems involving ordinary differential equations 34B30 Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) Keywords:decomposition method; differential equations with singular coefficients; Legendre’s equation; Chebyshev’s equation; Laguerre’s equation; Bessel’s equation; Hermite’s equation PDFBibTeX XMLCite \textit{R. Rach} et al., Appl. Math. Comput. 47, No. 2--3, 179--184 (1992; Zbl 0748.65066) Full Text: DOI References: [1] Adomian, G., Nonlinear Stochastic Operator Equations (1986), Academic · Zbl 0614.35013 [2] Adomian, G., Nonlinear Stochastic Systems Theory and Applications to Physics (1988), Kluwer · Zbl 0666.60061 [3] Cherrault, Y., Convergence of Adomian’s method, Kybernetes, 18, 2, 31-38 (1989) [4] Adomian, G., Recent results for nonlinear equations, Comput. and Math. Appl., 21, 5, 101-127 (1991) · Zbl 0732.35003 [5] Adomian, G., On solution of complex dynamical systems, I, II, Simulation, 54, 5, 245-251 (1990) [6] G. Adomian and R. Rach, Analytic solution of nonlinear boundary-value problems, Comput. and Math Appl., to appear.; G. Adomian and R. Rach, Analytic solution of nonlinear boundary-value problems, Comput. and Math Appl., to appear. · Zbl 0796.35017 [7] G. Adomian and R. Rach, An extension of the decomposition method for boundary-value problems, Adv. in Partial Diff. Equations, to appear.; G. Adomian and R. Rach, An extension of the decomposition method for boundary-value problems, Adv. in Partial Diff. Equations, to appear. · Zbl 0810.34015 [8] Adomian, G.; Rach, R., Multiple decompositions for computational convenience, Appl. Math. Lett., 3, 3, 97-99 (1990) · Zbl 0707.34008 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.