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Cogent Mathematics Volume 3, 2016 - Issue 1
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Research Article

Numerical solution of singularly perturbed problems using Haar wavelet collocation method

Firdous A. ShahDepartment of Mathematics, University of Kashmir, South Campus, Anantnag192 101, Jammu and Kashmir, IndiaCorrespondence[email protected]
ORCID Iconhttps://orcid.org/0000-0001-8461-869XView further author information
ORCID Icon,
R. AbassDepartment of Mathematical Sciences, BGSB University, Rajouri185234, Jammu and Kashmir, IndiaView further author information
&
J. IqbalDepartment of Mathematical Sciences, BGSB University, Rajouri185234, Jammu and Kashmir, IndiaView further author information
|
Yong Hong WuCurtin University of Technology, AustraliaView further author information
(Reviewing Editor)
Article: 1202504 | Received 18 Apr 2016, Accepted 10 Jun 2016, Published online: 06 Jul 2016

Citations (10)

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Muhammad Ahsan, Siraj-ul-Islam & Iltaf Hussain. (2019) Haar wavelets multi-resolution collocation analysis of unsteady inverse heat problems. Inverse Problems in Science and Engineering 27:11, pages 1498-1520.
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Articles from other publishers (9)

Muhammad Ahsan, Thanh Tran, Siraj‐ul‐Islam & Iltaf Hussain. (2022) A multiresolution collocation method and its convergence for Burgers' type equations. Mathematical Methods in the Applied Sciences 46:10, pages 11702-11725.
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Weidong Lei, Muhammad Ahsan, Waqas Khan, Zaheer Uddin & Masood Ahmad. (2023) A numerical Haar wavelet-finite difference hybrid method and its convergence for nonlinear hyperbolic partial differential equation. Demonstratio Mathematica 56:1.
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Muhammad Ahsan, Martin Bohner, Aizaz Ullah, Amir Ali Khan & Sheraz Ahmad. (2023) A Haar wavelet multi-resolution collocation method for singularly perturbed differential equations with integral boundary conditions. Mathematics and Computers in Simulation 204, pages 166-180.
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Muhammad Ahsan, Khawaja Shams‐ul Haq, Xuan Liu, Showkat Ahmad Lone & Muhammad Nisar. (2022) A Haar wavelets based approximation for nonlinear inverse problems influenced by unknown heat source. Mathematical Methods in the Applied Sciences 46:2, pages 2475-2487.
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Xuan Liu, Muhammad Ahsan, Masood Ahmad, Muhammad Nisar, Xiaoling Liu, Imtiaz Ahmad & Hijaz Ahmad. (2021) Applications of Haar Wavelet-Finite Difference Hybrid Method and Its Convergence for Hyperbolic Nonlinear Schrödinger Equation with Energy and Mass Conversion. Energies 14:23, pages 7831.
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Akmal Raza, Arshad Khan, Pankaj Sharma & Khalil Ahmad. (2020) Solution of singularly perturbed differential difference equations and convection delayed dominated diffusion equations using Haar wavelet. Mathematical Sciences 15:2, pages 123-136.
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Jitendra, K.N. Rai & Jitendra Singh. (2021) Wavelet based numerical approach of non-classical moving boundary problem with convection effect and variable latent heat under the most generalized boundary conditions. European Journal of Mechanics - B/Fluids 87, pages 1-11.
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Anastasia-Dimitra Lipitakis. (2019) The Numerical Solution of Singularly Perturbed Nonlinear Partial Differential Equations in Three Space Variables: The Adaptive Explicit Inverse Preconditioning Approach. Modelling and Simulation in Engineering 2019, pages 1-9.
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Firdous A. Shah & R. Abass. (2016) An operational Haar wavelet collocation method for solving singularly perturbed boundary-value problems. SeMA Journal 74:4, pages 457-474.
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