Modified Adomian Techniques Applied to Non-Linear Volterra Integral Equations

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References

[1] H. Brunner, “Implicitly Linear Collocation Methods for Nonlinear Volterra Equations,” Applied Numerical Mathematics, Vol. 9, No. 3-5, 1992, pp. 235-247.
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[2] T. Tang, S. McKee and T. Diogo, “Product Integration Methods for an Integral Equation with Logarithmic Singular Kernel,” Applied Numerical Mathematics, Vol. 9, No. 3-5, 1992, pp. 259-266.
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[3] T. Diogo, S. McKee and T. Tang, “A Hermite-Type Col location Method for the Solution of an Integral Equation with a Certain Weakly Singular Kernel,” IMA Journal of Numerical Analysis, Vol. 11, No. 4, 1991, pp. 595-605.
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[4] G. Adomian, “The Decomposition Method for Nonlinear Dynamical Systems,” Journal of Mathematical Analysis and Applications, Vol. 120, No. 1, 1986, pp. 370-383.
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[5] G. Adomian, “A Review of the Decomposition Method and Some Recent Results for Nonlinear Equations,” Mathematical and Computer Modeling, Vol. 13, No. 7, 1990, pp. 17-43. doi:10.1016/0895-7177(90)90125-7

[6] F. Abdelwahid, “A Mathematical Model of Adomian Polynomials,” Applied Mathematics and Computation, Vol. 141, No. 2-3, 2003, pp. 447-453.
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[7] F. Abdelwahid, “Adomian Decomposition Method Applied to Nonlinear Integral Equations,” Alexandria Journal of Mathematics, Vol. 1, No. 1, 2010, pp. 11-18.

[8] A. Wazwaz, “A Reliable Modification of Adomian De composition Method,” Applied Mathematics and Computation, Vol. 102, No. 1, 1999, pp. 77-86.
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[9] M. Hosseini, “Adomian Decomposition Method with Chebyshev Polynomials,” Applied Mathematics and Computation, Vol. 175, No. 2, 2006, pp. 1685-1693.
doi:10.1016/j.amc.2005.09.014