The decomposition method applied to Chandrasekhar H-equation

• Published in: Applied mathematics and computation Vol. 77; no. 1; pp. 67 - 78
• Main Authors: Deeba, E.Y., Khuri, S.A.
• Format: Journal Article
• Language: English
• Published: New York, NY Elsevier Inc 01-06-1996; Elsevier
• Subjects: Exact sciences and technology; Integral and integrodifferential equations; Integral equations, integral transforms; Mathematical methods in physics; Mathematics; Numerical analysis; Numerical analysis. Scientific computation; Numerical approximation and analysis; Physics; Sciences and techniques of general use; Non linear equation; Infinite series; Decomposition method; Iterative method; Integral equation; Adomian method; Exact solution
• ISSN: 0096-3003; 1873-5649
• DOI: 10.1016/0096-3003(95)00188-3

In this paper, Adomian's decomposition method is applied to the nonlinear Chandrasekhar
H-equation. The solution is expressed as an infinite series. It is shown that two or three iterations are sufficient to obtain good approximation of the exact solution. Adomian's method has been illustrated by considering some particular cases of this nonlinear integral equation that are of physical interest.