Analytical-Approximate Solution for Nonlinear Volterra Integro-Differential Equations
Subject Areas : History and biography
1 - Department of Mathematics, University of Mazandaran, Babolsar, PO. Code 47416-95447, Iran
2 - Department of Mathematics, University of Mazandaran, Babolsar, PO. Code 47416-95447, Iran
Keywords:
Abstract :
[1] A. M. Wazwaz, A comparison study between the modified decomposition method and the traditional methods for solving nonlinear integral equations, Appl. Math. Comput. 181 (2006), 1703-1712.
[2] A. M. Wazwaz, A First Course in Integral Equations, World Scientific, 1997.
[3] F. G. Tricomi, Integral Equations, Dover, 1982.
[4] G. Adomian, A review of the decomposition method and some recent results for nonlinear equation, Math. Comput. Model. 13 (1992), 17-43.
[5] G. Adomian, Solving Frontier Problems of Physics: The Decomposition Method, Kluwer Academic Publishers, Boston, MA, 1994.
[6] H. R. Thieme, A model for the spatio spread of an epidemic, J. Math. Biol. 4 (1977), 337-351.
[7] J. Manafianheris, Solving the integro-differential equations using the modified Laplace Adomian Decomposition Method, Journal of Mathematical Extension. 6 (2012), 65-79.
[8] M. Hussain, M. Khan, Modified Laplace decomposition method, Appl. Math. Scie. 4 (2010),1769-1783.
[9] M. Tatari, M. Dehghan, Numerical solution of Laplace equation in a disk using the Adomian decomposition method, Phys. Scr. 72 (2005), 345-348.
[10] N. Ngarhasta, B. Some, K. Abbaoui, and Y. Cherruault, New numerical study of adomian method applied to a diffusion model, Kybernetes. 31 (2002), 61-75.
[11] S. A. Khuri, A Laplace decomposition algorithm applied to class of nonlinear differential equations, J. Math. Appl. 4 (2001), 141-155.
[12] S. Hyder A. M. Shah, A. W. Shaikh, and S. H. Sandilo, Modified decomposition method for nonlinear VolterraFredholm integro-differential equation, Journal of Basic and Applied Sciences. 6 (2010), 13-16.
