Experimentation with two-step Adomian decomposition method to solve evolution models

• Published in: Applied mathematics and computation Vol. 175; no. 2; pp. 1495 - 1502
• Main Authors: Zhang, Bing-Quan, Wu, Qing-Biao, Luo, Xing-Guo
• Format: Journal Article
• Language: English
• Published: New York, NY Elsevier Inc 15.04.2006; Elsevier
• Subjects: Adomian decomposition method; Exact sciences and technology; Hyperbolic partial differential equations; Integral equations; Mathematical analysis; Mathematics; Numerical analysis; Numerical analysis. Scientific computation; Ordinary differential equations; Partial differential equations; Partial differential equations, initial value problems and time-dependant initial-boundary value problems; Sciences and techniques of general use; Singular initial value problems; Systems of inhomogeneous differential and integral equations; Hyperbolic partial differential equations; Singular initial value problems; Adomian decomposition method; Systems of inhomogeneous differential and integral equations; Differential equation; Differential system; Initial value problem; Singular value; Decomposition method; Step method; Partial differential equation; Two step method; Numerical analysis; Boundary value problem; Applied mathematics; Hyperbolic equation; Integral equation
• ISSN: 0096-3003; 1873-5649
• DOI: 10.1016/j.amc.2005.08.029

The two-step Adomian decomposition method (TSADM) is derived by separate the standard Adomian decomposition method into two steps. Although the TSADM needs only a slight variation from the standard Adomian decomposition method, experimentation shows that the TSADM is also promising for systems of inhomogeneous differential and integral equations, hyperbolic partial differential equations and singular initial value problems.