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International Journal of Computer Mathematics Volume 81, 2004 - Issue 1
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Original Articles

The use of Adomian decomposition method for solving the one-dimensional parabolic equation with non-local boundary specifications

Mehdi DehghanCorrespondence[email protected]
Pages 25-34 | Received 10 Dec 2002, Published online: 08 Jun 2010

Citations (31)

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Read on this site (3)

A. Kimiaeifar, N. Tolou, A. Barari & J.L. Herder. (2014) Large deflection analysis of cantilever beam under end point and distributed loads. Journal of the Chinese Institute of Engineers 37:4, pages 438-445.
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Xinping Shao & Danfu Han. (2011) On some modified variational iteration methods for solving the one-dimensional sine–Gordon equation. International Journal of Computer Mathematics 88:5, pages 969-981.
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Mehdi Tatari, Mehdi Dehghan & Mohsen Razzaghi. (2006) Determination of a time-dependent parameter in a one-dimensional quasi-linear parabolic equation with temperature overspecification. International Journal of Computer Mathematics 83:12, pages 905-913.
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Articles from other publishers (28)

Iqbal M. Batiha, Iqbal H. Jebril, Abeer A. Al-Nana & Shameseddin Alshorm. (2024) A simple harmonic quantum oscillator: fractionalization and solution. Mathematical Models in Engineering 10:1, pages 26-34.
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Sakine Esmaili & M.R. Eslahchi. (2016) A modified spectral method for solving operator equations. Journal of Computational and Applied Mathematics 292, pages 105-135.
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Said Mesloub & Saleem Obaidat. (2012) On the application of the homotopy analysis method for a nonlocal mixed problem with Bessel operator. Applied Mathematics and Computation 219:8, pages 3477-3485.
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Jun-Sheng Duan. (2011) New recurrence algorithms for the nonclassic Adomian polynomials. Computers & Mathematics with Applications 62:8, pages 2961-2977.
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Syed Tauseef Mohyud-Din & Ahmet Yıldırım. (2011) On two-dimensional diffusion with integral condition. Journal of King Saud University - Science 23:2, pages 121-125.
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M. G. Sfahani, S. S. Ganji, Amin Barari, H. Mirgolbabaei & G. Domairry. (2010) Analytical solutions to nonlinear conservative oscillator with fifth-order nonlinearity. Earthquake Engineering and Engineering Vibration 9:3, pages 367-374.
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Yongfang Zhou, Minggen Cui & Yingzhen Lin. (2009) Numerical algorithm for parabolic problems with non-classical conditions. Journal of Computational and Applied Mathematics 230:2, pages 770-780.
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Mehdi Dehghan & Fatemeh Shakeri. (2008) The use of the decomposition procedure of Adomian for solving a delay differential equation arising in electrodynamics. Physica Scripta 78:6, pages 065004.
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Mehdi Dehghan & Mehdi Ramezani. (2007) Composite spectral method for solution of the diffusion equation with specification of energy. Numerical Methods for Partial Differential Equations 24:3, pages 950-959.
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Mehdi Ramezani, Mehdi Dehghan & Mohsen Razzaghi. (2007) Combined finite difference and spectral methods for the numerical solution of hyperbolic equation with an integral condition. Numerical Methods for Partial Differential Equations 24:1, pages 1-8.
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Mehdi Tatari & Mehdi Dehghan. (2007) Identifying a control function in parabolic partial differential equations from overspecified boundary data. Computers & Mathematics with Applications 53:12, pages 1933-1942.
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Mehdi Dehghan, Asgar Hamidi & Mohammad Shakourifar. (2007) The solution of coupled Burgers’ equations using Adomian–Pade technique. Applied Mathematics and Computation 189:2, pages 1034-1047.
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Mehdi Dehghan & Mehdi Tatari. (2006) Solution of a semilinear parabolic equation with an unknown control function using the decomposition procedure of Adomian. Numerical Methods for Partial Differential Equations 23:3, pages 499-510.
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Mehdi Dehghan. (2007) The one-dimensional heat equation subject to a boundary integral specification. Chaos, Solitons & Fractals 32:2, pages 661-675.
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Mehdi Tatari, Mehdi Dehghan & Mohsen Razzaghi. (2007) Application of the Adomian decomposition method for the Fokker–Planck equation. Mathematical and Computer Modelling 45:5-6, pages 639-650.
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Bongsoo Jang. (2007) Exact solutions to one dimensional non-homogeneous parabolic problems by the homogeneous Adomian decomposition method. Applied Mathematics and Computation 186:2, pages 969-979.
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Abbas Saadatmandi & Mehdi Dehghan. (2006) Numerical solution of the one‐dimensional wave equation with an integral condition. Numerical Methods for Partial Differential Equations 23:2, pages 282-292.
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Reza Memarbashi. (2007) Variational Problems with Moving Boundaries Using Decomposition Method. Mathematical Problems in Engineering 2007, pages 1-11.
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Mehdi Dehghan & Behnam Hashemi. (2006) Solution of the fully fuzzy linear systems using the decomposition procedure. Applied Mathematics and Computation 182:2, pages 1568-1580.
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Ishak Hashim. (2006) Comparing numerical methods for the solutions of two-dimensional diffusion with an integral condition. Applied Mathematics and Computation 181:2, pages 880-885.
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Mehdi Tatari & Mehdi Dehghan. (2006) The use of the Adomian decomposition method for solving multipoint boundary value problems. Physica Scripta 73:6, pages 672-676.
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Mehdi Dehghan & Mehdi Tatari. (2006) The use of the Adomian decomposition method for solving a parabolic equation with temperature overspecification. Physica Scripta 73:3, pages 240-245.
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Mehdi Dehghan & Mehdi Tatari. (2006) The use of Adomian decomposition method for solving problems in calculus of variations. Mathematical Problems in Engineering 2006, pages 1-12.
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Dogˇan Kaya & Asif Yokus. (2005) A decomposition method for finding solitary and periodic solutions for a coupled higher-dimensional Burgers equations. Applied Mathematics and Computation 164:3, pages 857-864.
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Mehdi Tatari & Mehdi Dehghan. (2005) Numerical Solution of Laplace Equation in a Disk using the Adomian Decomposition Method. Physica Scripta 72:5, pages 345-348.
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Mehdi Dehghan & Mehdi Tatari. (2005) Solution of a Parabolic Equation with a Time-Dependent Coefficient and an Extra Measurement Using the Decomposition Procedure of Adomian. Physica Scripta 72:6, pages 425-431.
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Mehdi Dehghan. (2004) On the solution of an initial‐boundary value problem that combines Neumann and integral condition for the wave equation. Numerical Methods for Partial Differential Equations 21:1, pages 24-40.
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Mehdi Dehghan. (2004) Three-level techniques for one-dimensional parabolic equation with nonlinear initial condition. Applied Mathematics and Computation 151:2, pages 567-579.
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