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Original Articles

An application of the decomposition method for second order wave equations

Pages 235-245 | Received 03 Dec 1998, Published online: 20 Mar 2007

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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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Mehdi Dehghan. (2004) The solution of a nonclassic problem for one-dimensional hyperbolic equation using the decomposition procedure. International Journal of Computer Mathematics 81:8, pages 979-989.
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Articles from other publishers (26)

Dnyanoba B. Dhaigude & Vidya N. Bhadgaonka. (2022) Analytical Solution of Nonlinear Nonhomogeneous Space and Time Fractional Physical Models by Improved Adomian Decomposition Method. Punjab University Journal of Mathematics, pages 127-147.
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Muhammad JamilRahmat Ali KhanKamal Shah. (2021) Exact Analytical Solutions of Linear Dissipative Wave Equations via Laplace Transform Method. Punjab University Journal of Mathematics, pages 425-434.
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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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A.M.A. El-Sayed & M. Gaber. (2006) The Adomian decomposition method for solving partial differential equations of fractal order in finite domains. Physics Letters A 359:3, pages 175-182.
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D. Lesnic. (2006) The decomposition method for linear, one-dimensional, time-dependent partial differential equations. International Journal of Mathematics and Mathematical Sciences 2006, pages 1-29.
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Doğan Kaya. (2006) The exact and numerical solitary-wave solutions for generalized modified Boussinesq equation. Physics Letters A 348:3-6, pages 244-250.
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Salah M. El-Sayed & Dogˇan Kaya. (2006) A numerical solution and an exact explicit solution of the NLS equation. Applied Mathematics and Computation 172:2, pages 1315-1322.
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Dogˇan Kaya & Salah M. El-Sayed. (2005) A numerical implementation of the decomposition method for the Lienard equation. Applied Mathematics and Computation 171:2, pages 1095-1103.
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Dogˇan Kaya & Ibrahim E. Inan. (2005) A numerical application of the decomposition method for the combined KdV–MKdV equation. Applied Mathematics and Computation 168:2, pages 915-926.
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M. Inc & Y. Cherruault. (2005) A reliable approach to the Korteweg‐de Vries equation.. Kybernetes 34:7/8, pages 951-959.
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Salah M. El-Sayed & Dogˇan Kaya. (2005) Exact and numerical traveling wave solutions of Whitham–Broer–Kaup equations. Applied Mathematics and Computation 167:2, pages 1339-1349.
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Dogˇan Kaya. (2005) An implementation of the ADM for generalized one-dimensional Klein-Gordon equation. Applied Mathematics and Computation 166:2, pages 426-433.
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Dogˇan Kaya. (2005) On experimental results and explicit exact solutions for the generalized Boussinesq type equation. Applied Mathematics and Computation 165:2, pages 303-311.
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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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D. Kaya. (2004) An application of the decompositionmethod for the two-dimensional KdV-Burgers equation. Computers & Mathematics with Applications 48:10-11, pages 1659-1665.
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Mehdi Dehghan. (2004) Application of the Adomian decomposition method for two-dimensional parabolic equation subject to nonstandard boundary specifications. Applied Mathematics and Computation 157:2, pages 549-560.
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Salah M. El-Sayed & Doǧan Kaya. (2004) On the numerical solution of the system of two-dimensional Burgers' equations by the decomposition method. Applied Mathematics and Computation 158:1, pages 101-109.
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Doǧan Kaya. (2004) A reliable method for the numerical solution of the kinetics problems. Applied Mathematics and Computation 156:1, pages 261-270.
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Doǧan Kaya. (2004) Solitary-wave solutions for compound KdV-type and compound KdV–Burgers-type equations with nonlinear terms of any order. Applied Mathematics and Computation 152:3, pages 709-720.
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Doǧan Kaya. (2004) Exact and numerical soliton solutions of some nonlinear physical models. Applied Mathematics and Computation 152:2, pages 551-560.
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Doǧan Kaya & Salah M. El-Sayed. (2004) A numerical simulation and explicit solutions of the generalized Burgers–Fisher equation. Applied Mathematics and Computation 152:2, pages 403-413.
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Doǧan Kaya & Ibrahim E Inan. (2004) Exact and numerical traveling wave solutions for nonlinear coupled equations using symbolic computation. Applied Mathematics and Computation 151:3, pages 775-787.
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N Shawagfeh & D Kaya. (2004) Comparing numerical methods for the solutions of systems of ordinary differential equations. Applied Mathematics Letters 17:3, pages 323-328.
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Salah M. El-Sayed & Doǧan Kaya. (2004) Comparing numerical methods for Helmholtz equation model problem. Applied Mathematics and Computation 150:3, pages 763-773.
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Doǧan Kaya. (2004) A numerical simulation of solitary-wave solutions of the generalized regularized long-wave equation. Applied Mathematics and Computation 149:3, pages 833-841.
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Doǧan Kaya. (2004) Solitary wave solutions for a generalized Hirota–Satsuma coupled KdV equation. Applied Mathematics and Computation 147:1, pages 69-78.
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