A new approach to Bratu's problem

Applied Mathematics and Computation

Volumn 147, Issue 1, 2004, Pages 131-136

  Khuri, S A ^a  

^a AMERICAN UNIVERSITY OF SHARJAH   (United Arab Emirates)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; DIFFERENCE EQUATIONS; INTEGRAL EQUATIONS; ITERATIVE METHODS; MATHEMATICAL TRANSFORMATIONS;

TRANSFORM DECOMPOSITION;

LAPLACE TRANSFORMS;

EID: 0141525039     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(02)00656-2     Document Type: Article

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3. Ascher U.M.et al. Numerical Solution of Boundary Value Problems of Ordinary Differential Equations. 1995;Society for Industrial and Applied Mathematics, PA.
4. Deeba E.Y., Khuri S.A. The decomposition method applied to Chandrasekhar H-equation. Applied Mathematics and Computation. 77:1996;67-78.
5. Deeba E.Y., Khuri S.A. A decomposition method for solving the nonlinear Klein-Gordon equation. Journal of Computational Physics. 124:1996;442-448.
6. Deeba E., Khuri S.A., Xie S. An algorithm for solving a nonlinear integro-differential equation. Applied Mathematics and Computation. 115(2-3):2000;123-131.
7. Deeba E., Khuri S.A. Nonlinear equations. Wiley Encyclopedia of Electrical and Electronics Engineering. 14:1999;562-570 John Wiley & Sons, NewYork.
8. Deeba E., Khuri S.A., Xie S. An algorithm for solving boundary value problems. Journal of Computational Physics. 159:2000;125-138.
9. Frank-Kamenetskii D.A. Calculation of thermal explosion limits. Acta Physica et Chemica URSS. 10:1939;365.
10. D.M. Hwang, Convergence of Broyden's method in Banach Spaces, Doctoral dissertation, North Carolina State University, 1991.