# zbMATH — the first resource for mathematics

##### Examples
 Geometry Search for the term Geometry in any field. Queries are case-independent. Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact. "Topological group" Phrases (multi-words) should be set in "straight quotation marks". au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted. Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff. "Quasi* map*" py: 1989 The resulting documents have publication year 1989. so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14. "Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic. dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles. py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses). la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

##### Operators
 a & b logic and a | b logic or !ab logic not abc* right wildcard "ab c" phrase (ab c) parentheses
##### Fields
 any anywhere an internal document identifier au author, editor ai internal author identifier ti title la language so source ab review, abstract py publication year rv reviewer cc MSC code ut uncontrolled term dt document type (j: journal article; b: book; a: book article)
Analytical solution for the time-dependent Emden–Fowler type of equations by Adomian decomposition method. (English) Zbl 1073.65105
Summary: The Adomian decomposition method is used to obtain an analytical solution for the time-dependent Emden-Fowler type of equations and a wave-type equation with singular behavior. The advantage of this single global method is employed to present a reliable framework is used to overcome the singularity behavior at the point $x=0$ for both models. The proposed scheme reveals quite a number of remarkable features that will be helpful for identical problems. The work is supported by analyzing few examples where the convergence of the results is observed.
##### MSC:
 65M70 Spectral, collocation and related methods (IVP of PDE) 35K55 Nonlinear parabolic equations 65L05 Initial value problems for ODE (numerical methods) 65M12 Stability and convergence of numerical methods (IVP of PDE) 65L20 Stability and convergence of numerical methods for ODE 34A34 Nonlinear ODE and systems, general