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Said Mesloub, M. R. Aboelrish & S. Obaidat. (2019) Well posedness and numerical solution for a non-local pseudohyperbolic initial boundary value problem. International Journal of Computer Mathematics 96:12, pages 2533-2547.
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Hooman Fatoorehchi & Hossein Abolghasemi. (2016) Series solution of nonlinear differential equations by a novel extension of the Laplace transform method. International Journal of Computer Mathematics 93:8, pages 1299-1319.
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Yücel Çenesiz & Aydın Kurnaz. (2011) Adomian decomposition method by Gegenbauer and Jacobi polynomials. International Journal of Computer Mathematics 88:17, pages 3666-3676.
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Mehdi Dehghan & Mehdi Tatari. (2010) Finding approximate solutions for a class of third-order non-linear boundary value problems via the decomposition method of Adomian. International Journal of Computer Mathematics 87:6, pages 1256-1263.
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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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R. K. Mohanty & Gunjan Khurana. (2018) A New Fast Algorithm Based on Half-Step Discretization for 3D Quasilinear Hyperbolic Partial Differential Equations. International Journal of Computational Methods 16:01, pages 1850090.
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N.A. Al-Zaid & H.O. Bakodah. (2018) Iterative algorithm for parabolic and hyperbolic PDEs with nonlocal boundary conditions. Journal of Ocean Engineering and Science 3:4, pages 316-324.
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Che Haziqah Che Hussin & Adem Kiliçman. (2011) On the Solutions of Nonlinear Higher-Order Boundary Value Problems by Using Differential Transformation Method and Adomian Decomposition Method. Mathematical Problems in Engineering 2011, pages 1-19.
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Mehdi Dehghan, Mohammad Shakourifar & Asgar Hamidi. (2009) The solution of linear and nonlinear systems of Volterra functional equations using Adomian–Pade technique. Chaos, Solitons & Fractals 39:5, pages 2509-2521.
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Mustafa Inc. 2022. Solitons. Solitons
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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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Mustafa Inc & Ebru Cavlak. (2008) On numerical solutions of a new coupled MKdV system by using the Adomian decomposition method and He's variational iteration method. Physica Scripta 78:4, pages 045008.
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Liu Jinbo & Tang Jiang. (2008) Variational iteration method for solving an inverse parabolic equation. Physics Letters A 372:20, pages 3569-3572.
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Mehdi Ramezani, Mehdi Dehghan & Mohsen Razzaghi. (2008) 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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Fatemeh Shakeri & Mehdi Dehghan. (2007) Numerical solution of the Klein–Gordon equation via He’s variational iteration method. Nonlinear Dynamics 51:1-2, pages 89-97.
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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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Fatemeh Shakeri & Mehdi Dehghan. (2007) Inverse problem of diffusion equation by He's homotopy perturbation method. Physica Scripta 75:4, pages 551-556.
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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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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 Dehghan & Mehdi Tatari. (2006) The use of He's variational iteration method for solving a Fokker–Planck equation. Physica Scripta 74:3, pages 310-316.
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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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M. Dehghan. (2006) Implicit Collocation Technique for Heat Equation with Non-Classic Initial Condition. International Journal of Nonlinear Sciences and Numerical Simulation 7:4.
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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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Mehdi Dehghan. (2006) A computational study of the one-dimensional parabolic equation subject to nonclassical boundary specifications. Numerical Methods for Partial Differential Equations 22:1, pages 220-257.
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Mehdi Dehghan. (2005) Quasi-implicit and two-level explicit finite-difference procedures for solving the one-dimensional advection equation. Applied Mathematics and Computation 167:1, pages 46-67.
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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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