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Change in the form of fourth order two-point boundary value problem for solving by Adomian decomposition and homotopy perturbation methods | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 23، دوره 14، شماره 7، مهر 2023، صفحه 255-260 اصل مقاله (308.91 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.27492.3639 | ||
| نویسندگان | ||
| Sayd Siavash Hosseini1؛ Azim Aminataei* 2؛ Fatemeh Kiany1؛ Mohsen Zahraei3؛ Mahmood Alizadeh1 | ||
| 1Department of Mathematics, Ahvaz Branch, Islamic Azad University, Ahvaz, Iran | ||
| 2Faculty of Mathematics, K. N. Toosi University of Technology, P. O. Box: 16315-1618, Tehran, Iran | ||
| 3Department of mathematics, Ahvaz Branch, Islamic Azad University, Ahvaz, Iran | ||
| تاریخ دریافت: 03 خرداد 1401، تاریخ بازنگری: 27 خرداد 1401، تاریخ پذیرش: 20 تیر 1401 | ||
| چکیده | ||
| In this paper, we convert the fourth-order differential equations with two-point boundary conditions into a differential equation with homogeneous boundary conditions. Because the decomposition methods are closely related to the McLaren series, the McLaren series has a higher accuracy for points close to zero. Then we use Adomian decomposition and homotopy perturbation methods to solve three linear and nonlinear experiments. | ||
| کلیدواژهها | ||
| Boundary value problems؛ Homotopy perturbation method؛ Adomian decomposition method؛ Modification؛ Stability | ||
| مراجع | ||
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[1] G. Akram and I.A. Aslam, Solution of fourth order three-point boundary value problem using ADM and RKM, J. Assoc. Arab Univ. Basic Appl. Sci. 20 (2016), 61–67. [2] A. Aminataei and S.S. Hosseini, Comparison of Adomian decomposition and double decomposition methods for boundary-value problems, Euro. J. Sci. Res. 2 (2005), 48–56. [3] E. Babolian, S.M. Hosseini and M. Heydari, Improving homotopy perturbation method with optimal Lagrange interpolation polynomials, Ain Shams Engin. J. 3 (2012) 305–311. [4] M.G. Cui and F.Z. Geng, Solving singular two-point boundary value problem in reproducing kernel space, J. Comput. Appl. Math. 205 (2007), 6–15. [5] F.Z. Geng and M.G. Cui, Solving singular nonlinear two-point boundary value problems in the reproducing kernel space, J. Korean Math. Soc. 45 (2008), 77–87. [6] F.Z. Geng and M.G. Cui, Solving nonlinear multi-point boundary value problems by combining homotopy perturbation and variational iteration methods, Int. J. Nonlinear Sci.d Numer. Simul. 10 (2009), 597–600. [7] F.Z. Geng and M.G. Cui, A novel method for nonlinear two-point boundary value problems: combination of ADM and RKM, Appl. Math. Comput. 217 (2011), 4676–4681. [8] A. Ghazala and U.R. Hamood, Reproducing kernel method for fourth order singularly perturbed boundary value problems, World Appl. Sci. J. 16 (2012), 1799–1802. [9] J.H. He, Comparison of homotopy perturbation method and homotopy analysis method, Appl. Math. Comput. 156 (2004), 527–539. [10] Y. Khan and Q. Wu, Homotopy perturbation transform method for nonlinear equations using He’s polynomials, Comput. Math. Appl. 61 (2011), 1963–1967. [11] D.R. Kincaid, Numerical Analysis Mathematics of Scientific Computing, American Mathematical Soc., 1942. [12] S.J. Liao, Boundary element method for general nonlinear differential operators, Eng. Anal. Boundary Ement. 20 (1997), 91–99. [13] M. Mestrovic, The modified decomposition method for eighth order boundary value problems, Appl. Math. Comput. 188 (2007), 1437–1444. [14] A.H. Nayfeh, Problems in Perturbation, John Wiley and Sons, New York, 1985. [15] M.A. Noor and S.T. Mohyud-Din, An efficient method for fourth-order boundary value problems, Comput. Math. Appl. 54 (2007) 1101–1111. [16] M. Sadaf and G. Akram, A Legendre-homotopy method for the solutions of higher order boundary value problems, J. King Saud Univ. Sci. 32 (2020), no. 1, 537–543. [17] S.S. Siddiqi and A. Ghazala, Numerical solution of a system of fourth order boundary value problems using cubic non-polynomial spline method, Appl. Math. Comput. 190 (2007), 652–661. [18] M. Tatari and M. Dehghan, The use of the Adomian decomposition method for solving multipoint boundary value problems, Phys. Scripta 73 (2006), 672–676. [19] A.M. Wazwaz, The numerical solution of fifth-order boundary-value problems by Adomian decomposition, J. Comput. Appl. Math. 136 (2001), 259–270. | ||
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