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International Journal of Computer Mathematics Volume 82, 2005 - Issue 9
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Original Articles

The modified decomposition method for analytic treatment of non-linear integral equations and systems of non-linear integral equations

Abdul-Majid Wazwaz Department of Mathematics and Computer Science, Saint Xavier University, Chicago, IL, 60655, USA
Pages 1107-1115 | Received 13 Jan 2005, Published online: 19 Aug 2006

Citations (16)

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Read on this site (4)

R. Chandra Guru Sekar & K. Murugesan. (2017) STWS approach for Hammerstein system of nonlinear Volterra integral equations of the second kind. International Journal of Computer Mathematics 94:9, pages 1867-1878.
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Abdul-Majid Wazwaz. (2016) Solving Systems of Fourth-Order Emden–Fowler Type Equations by the Variational Iteration Method. Chemical Engineering Communications 203:8, pages 1081-1092.
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Z. Mahmoodi. (2014) Collocation method for solving systems of Fredholm and Volterra integral equations. International Journal of Computer Mathematics 91:8, pages 1802-1816.
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Elçin Yusufoğlu (Agadjanov). (2007) Numerical expansion methods for solving systems of linear integral equations using interpolation and quadrature rules. International Journal of Computer Mathematics 84:1, pages 133-149.
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Articles from other publishers (12)

ASIYA ANSARINAJMUDDIN AHMAD. (2023) NUMERICAL ACCURACY OF FREDHOLM LINEAR INTEGRO-DIFFERENTIAL EQUATIONS BY USING ADOMIAN DECOMPOSITION METHOD, MODIFIED ADOMIAN DECOMPOSITION METHOD AND VARIATIONAL ITERATION METHOD. Journal of Science and Arts 23:3, pages 625-638.
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Unit Three Kartini, Bambang Suprianto, I.G.P. Asto Buditjahjanto, Lilik Anifah, Nurhayati & Moch. Nur Adiwana. (2022) Optimalization Global Horizontal Irradiance Based On Weather Data Using Hybrid model Modified Decomposition FeedForward Neural Network. Optimalization Global Horizontal Irradiance Based On Weather Data Using Hybrid model Modified Decomposition FeedForward Neural Network.
Mohammad Prawesh Alam, Tahera Begum & Arshad Khan. (2021) A high-order numerical algorithm for solving Lane–Emden equations with various types of boundary conditions. Computational and Applied Mathematics 40:6.
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Ch. Sh. Ahmed. (2021) Galerkin-Collocation Manner for The System of Nonlinear Volterra Integral Equations of The Second Type Using Exponential Function. Journal of Physics: Conference Series 1818:1, pages 012061.
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M. A. AlzhraniH. O. BakodahM. Al-Mazmumy. (2020) Resolution of system of Volterra integral equations of the first kind by derivation technique and modified decomposition methods. Journal of Applied Mathematics, Statistics and Informatics 16:2, pages 23-38.
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Muhammed I. Syam, Mohamed-Naim Yehia Anwar, Ahmet Yildirim & Mahmmoud M. Syam. (2019) The Modified Fractional Power Series Method for Solving Fractional Non-isothermal Reaction–Diffusion Model Equations in a Spherical Catalyst. International Journal of Applied and Computational Mathematics 5:2.
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Abdul-Majid Wazwaz. (2017) Solving the non-isothermal reaction-diffusion model equations in a spherical catalyst by the variational iteration method. Chemical Physics Letters 679, pages 132-136.
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Abdul-Majid Wazwaz. (2016) The variational iteration method for solving systems of third-order Emden-Fowler type equations. Journal of Mathematical Chemistry 55:3, pages 799-817.
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Abdul-Majid Wazwaz. (2013) The variational iteration method for solving the Volterra integro-differential forms of the Lane–Emden equations of the first and the second kind. Journal of Mathematical Chemistry 52:2, pages 613-626.
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Abdul-Majid Wazwaz. (2010) The combined Laplace transform–Adomian decomposition method for handling nonlinear Volterra integro–differential equations. Applied Mathematics and Computation 216:4, pages 1304-1309.
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Elçin Yusufoğlu (Agadjanov). (2009) Numerical solving initial value problem for Fredholm type linear integro-differential equation system. Journal of the Franklin Institute 346:6, pages 636-649.
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Elçin Yusufoğlu & Barış Erbaş. (2008) Numerical expansion methods for solving Fredholm‐Volterra type linear integral equations by interpolation and quadrature rules. Kybernetes 37:6, pages 768-785.
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