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International Journal of Computer Mathematics Volume 83, 2006 - Issue 8-9
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Original Articles

The solution of a second-order nonlinear differential equation with Neumann boundary conditions using semi-orthogonal B-spline wavelets

Mehrdad Lakestani Faculty of Mathematical Sciences, University of Tabriz, Tabriz, IranView further author information
&
Mehdi Dehghan Department of Applied Mathematics, Amirkabir University of Technology, No. 424 Hafez Avenue, Tehran, IranCorrespondence[email protected]
Pages 685-694 | Received 26 Feb 2006, Accepted 16 Aug 2006, Published online: 18 Nov 2010

Citations (19)

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M.R.A. Darani, H. Adibi & M. Lakestani. (2011) Numerical solution of nonlinear ordinary differential equations using flatlet oblique multiwavelets. International Journal of Computer Mathematics 88:5, pages 1035-1051.
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Articles from other publishers (18)

Yingchao Zhang, Yuntao Jia & Yingzhen Lin. (2024) An $ {\varepsilon} $-approximate solution of BVPs based on improved multiscale orthonormal basis. AIMS Mathematics 9:3, pages 5810-5826.
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Muhammad Ahsan, Weidong Lei, Amir Ali Khan, Aizaz Ullah, Sheraz Ahmad, Shams Ul Arifeen, Zaheer Uddin & Haidong Qu. (2023) A high-order reliable and efficient Haar wavelet collocation method for nonlinear problems with two point-integral boundary conditions. Alexandria Engineering Journal 71, pages 185-200.
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Higinio Ramos & Gurjinder Singh. (2022) Solving second order two-point boundary value problems accurately by a third derivative hybrid block integrator. Applied Mathematics and Computation 421, pages 126960.
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Yingchao Zhang, Liangcai Mei & Yingzhen Lin. (2021) A Novel Method for Nonlinear Boundary Value Problems Based on Multiscale Orthogonal Base. International Journal of Computational Methods 18:09.
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Maheshwar Pathak & Pratibha Joshi. (2021) Modified iteration method for numerical solution of nonlinear differential equations arising in science and engineering. Asian-European Journal of Mathematics 14:09, pages 2150151.
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Elmira Ashpazzadeh, Mehrdad Lakestani & Ahmet Yildirim. (2020) Biorthogonal multiwavelets on the interval for solving multidimensional fractional optimal control problems with inequality constraint. Optimal Control Applications and Methods 41:5, pages 1477-1494.
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Higinio Ramos & M.A. Rufai. (2019) A third-derivative two-step block Falkner-type method for solving general second-order boundary-value systems. Mathematics and Computers in Simulation 165, pages 139-155.
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Elmira Ashpazzadeh & Mehrdad Lakestani. (2018) Hermite interpolant multiscaling functions for numerical solution of the convection diffusion equations. Boletim da Sociedade Paranaense de Matemática 36:2, pages 83-97.
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E.H. Doha, W.M. Abd-Elhameed & Y.H. Youssri. (2016) New ultraspherical wavelets collocation method for solving 2nth-order initial and boundary value problems. Journal of the Egyptian Mathematical Society 24:2, pages 319-327.
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Robabeh Mohammadzadeh, Mehrdad Lakestani & Mehdi Dehghan. (2013) Collocation method for the numerical solutions of Lane–Emden type equations using cubic Hermite spline functions. Mathematical Methods in the Applied Sciences 37:9, pages 1303-1717.
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Ayşe Betül Koç, Musa Çakmak, Aydın Kurnaz & Kemal Uslu. (2013) A new Fibonacci type collocation procedure for boundary value problems. Advances in Difference Equations 2013:1.
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Mehrdad Lakestani & Mehdi Dehghan. (2013) Four techniques based on the B‐spline expansion and the collocation approach for the numerical solution of the Lane–Emden equation. Mathematical Methods in the Applied Sciences 36:16, pages 2243-2253.
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Simon Jones & Mathias Legrand. (2013) On Solving One-Dimensional Partial Differential Equations With Spatially Dependent Variables Using the Wavelet-Galerkin Method. Journal of Applied Mechanics 80:6.
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A. Katunin & F. Holewik. (2013) Crack identification in composite elements with non-linear geometry using spatial wavelet transform. Archives of Civil and Mechanical Engineering 13:3, pages 287-296.
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W. M. Abd-Elhameed, E. H. Doha & Y. H. Youssri. (2013) New Wavelets Collocation Method for Solving Second-Order Multipoint Boundary Value Problems Using Chebyshev Polynomials of Third and Fourth Kinds. Abstract and Applied Analysis 2013, pages 1-9.
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Mehrdad Lakestani, Mahmood Jokar & Mehdi Dehghan. (2011) Numerical solution of n th-order integro-differential equations using trigonometric wavelets . Mathematical Methods in the Applied Sciences 34:11, pages 1317-1329.
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Mehrdad Lakestani, Behzad Nemati Saray & Mehdi Dehghan. (2011) Numerical solution for the weakly singular Fredholm integro-differential equations using Legendre multiwavelets. Journal of Computational and Applied Mathematics 235:11, pages 3291-3303.
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Siraj-ul-Islam, Imran Aziz & Božidar Šarler. (2010) The numerical solution of second-order boundary-value problems by collocation method with the Haar wavelets. Mathematical and Computer Modelling 52:9-10, pages 1577-1590.
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