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International Journal of Computer Mathematics Volume 57, 1995 - Issue 3-4
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Original Articles

On the solution of the fourth order parabolic equation by the decomposition method

A.-M. Wazwaz Department of Mathematics and Computer Science, Saint Xavier University, Chicago, Illinois, 60655, USA
Pages 213-217 | Received 23 Aug 1994, Published online: 19 Mar 2007

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Read on this site (5)

Arshad Khan, Islam Khan & Tariq Aziz. (2005) Sextic spline solution for solving a fourth-order parabolic partial differential equation. International Journal of Computer Mathematics 82:7, pages 871-879.
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M. Inc & D. J. Evans . (2004) A different approach for soliton solution of the improved Boussinesq equation . International Journal of Computer Mathematics 81:3, pages 313-323.
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M. Inc & D. J. Evans. (2003) The Decomposition Method For Solving Of A Class Of Singular Two-Point Boundary Value Problems. International Journal of Computer Mathematics 80:7, pages 869-882.
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Abdul-Majid Wazwaz. (2000) The decomposition method For solving higher dimensional Initial boundary value problems of variable coefficients. International Journal of Computer Mathematics 76:2, pages 159-172.
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Abdul-Majid Wazwaz. (1997) Equality of partial solutions in the decomposition method for partial differential equations. International Journal of Computer Mathematics 65:3-4, pages 293-308.
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Articles from other publishers (23)

My Driss Aouragh, Yassin Khali, Samir Khallouq & M’hamed Segaoui. (2023) Compact Finite Difference Scheme for Euler–Bernoulli Beam Equation with a Simply Supported Boundary Conditions. International Journal of Applied and Computational Mathematics 10:1.
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Nasir Ali, Rashid Nawaz, Anwar Saeed, Taza Gul & Ebenezer Bonyah. (2022) NTIM solution of the fractional order parabolic partial differential equations. Open Physics 20:1, pages 905-918.
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Muhammad Naeem, Omar Fouad Azhar, Ahmed M. Zidan, Kamsing Nonlaopon & Rasool Shah. (2021) Numerical Analysis of Fractional-Order Parabolic Equations via Elzaki Transform. Journal of Function Spaces 2021, pages 1-10.
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Ravi P. Agarwal, Fatemah Mofarreh, Rasool Shah, Waewta Luangboon & Kamsing Nonlaopon. (2021) An Analytical Technique, Based on Natural Transform to Solve Fractional-Order Parabolic Equations. Entropy 23:8, pages 1086.
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L M Hieu, N N Hien, D N H Thanh & L T H Van. (2021) Method of moments with a choice of special basic functions for fourth-order partial differential equations. Journal of Physics: Conference Series 1803:1, pages 012001.
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Yingjie Liu, Christian Peco & John Dolbow. (2019) A fully coupled mixed finite element method for surfactants spreading on thin liquid films. Computer Methods in Applied Mechanics and Engineering 345, pages 429-453.
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Talat Sultana & Pooja Khandelwal. (2018) Tension spline technique for the solution of fourth-order parabolic partial differential equation. Malaya Journal of Matematik 06:03, pages 514-520.
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Meng Koon Lee, Mohammad Hosseini Fouladi & Satesh Narayana Namasivayam. (2017) Natural frequencies of thin rectangular plates using homotopy-perturbation method. Applied Mathematical Modelling 50, pages 524-543.
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R.K. Mohanty, Sean McKee & Deepti Kaur. (2017) A class of two-level implicit unconditionally stable methods for a fourth order parabolic equation. Applied Mathematics and Computation 309, pages 272-280.
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Mohamed El-Gamel. (2014) A note on solving the fourth-order parabolic equation by the sinc-Galerkin method. Calcolo 52:3, pages 327-342.
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Abeer Majeed Jassim, Elaf Jaafar Ali & Afrah Abd-Imam Ahmed. (2013) A new procedure of initial boundary value problems using homotopy perturbation method. Journal of Kufa for Mathematics and Computer 1:7, pages 54-62.
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Muhammad Aslam Noor, Khalida Inayat Noor & Syed Tauseef Mohyud-Din. (2009) Modified variational iteration technique for solving singular fourth-order parabolic partial differential equations. Nonlinear Analysis: Theory, Methods & Applications 71:12, pages e630-e640.
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Hikmet Caglar & Nazan Caglar. (2008) Fifth-degree B-spline solution for a fourth-order parabolic partial differential equations. Applied Mathematics and Computation 201:1-2, pages 597-603.
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Hassan Haddadpour. (2006) An exact solution for variable coefficients fourth-order wave equation using the Adomian method. Mathematical and Computer Modelling 44:11-12, pages 1144-1152.
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Tariq Aziz, Arshad Khan & Jalil Rashidinia. (2005) Spline methods for the solution of fourth-order parabolic partial differential equations. Applied Mathematics and Computation 167:1, pages 153-166.
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Abdul-Majid Wazwaz & Alice Gorguis. (2004) Exact solutions for heat-like and wave-like equations with variable coefficients. Applied Mathematics and Computation 149:1, pages 15-29.
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Abdul-Majid Wazwaz. (2002) Exact solutions for variable coefficients fourth-order parabolic partial differential equations in higher-dimensional spaces. Applied Mathematics and Computation 130:2-3, pages 415-424.
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Abdul-Majid Wazwaz. (2001) Analytic treatment for variable coefficient fourth-order parabolic partial differential equations. Applied Mathematics and Computation 123:2, pages 219-227.
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Abdul-Majid Wazwaz & Salah M. El-Sayed. (2001) A new modification of the Adomian decomposition method for linear and nonlinear operators. Applied Mathematics and Computation 122:3, pages 393-405.
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Michael A. Golberg. (1999) A note on the decomposition method for operator equations. Applied Mathematics and Computation 106:2-3, pages 215-220.
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Abdul-Majid Wazwaz. (1999) A reliable modification of Adomian decomposition method. Applied Mathematics and Computation 102:1, pages 77-86.
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Abdul-Majid Wazwaz. (1997) Necessary conditions for the appearance of noise terms in decomposition solution series. Applied Mathematics and Computation 81:2-3, pages 265-274.
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A.M. Wazwaz & S.A. Khuri. (1996) A reliable technique for solving the weakly singular second-kind Volterra-type integral equations. Applied Mathematics and Computation 80:2-3, pages 287-299.
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