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Original Articles

Haar wavelet method for solving stiff differential equations

Pages 467-481 | Received 19 Mar 2009, Published online: 14 Oct 2010

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Arun Kumar, Mohammad Shabi Hashmi, Abdul Quaiyum Ansari & Sultangali Arzykulov. (2023) Haar Wavelet Solution Analysis of Compound Pendulum-based Computational Electromagnetic Damping Oscillation Problem. IETE Journal of Research 69:7, pages 4130-4138.
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Arun Kumar, Mohammad S. Hashmi, Abdul Q. Ansari & Sultangali Arzykulov. (2020) Haar wavelet based algorithm for solution of second order electromagnetic problems in time and space domains. Journal of Electromagnetic Waves and Applications 34:3, pages 362-374.
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Articles from other publishers (22)

Hala A. Omar, Václav Snášel & Rizk M. Rizk-Allah. (2023) A hybrid reptile search algorithm and Levenberg–Marquardt algorithm based Haar wavelets to solve regular and singular boundary value problems. OPSEARCH 60:4, pages 1793-1823.
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Sudad Musa Rashid & Abdeljalil Nachaoui. (2023) A Haar wavelets-based direct reconstruction method for the Cauchy problem of the Poisson equation. Discrete and Continuous Dynamical Systems - S 0:0, pages 0-0.
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Abdeljalil Nachaoui & Sudad Musa Rashid. 2023. New Trends of Mathematical Inverse Problems and Applications. New Trends of Mathematical Inverse Problems and Applications 77 98 .
Subrat Kumar Jena, S. Chakraverty, Vinyas Mahesh & Dineshkumar Harursampath. (2022) Wavelet-based techniques for Hygro-Magneto-Thermo vibration of nonlocal strain gradient nanobeam resting on Winkler-Pasternak elastic foundation. Engineering Analysis with Boundary Elements 140, pages 494-506.
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Arun Kumar, Abdul Q. Ansari & Mohammad S. Hashmi. (2021) Identifying the right Wavelet and Solving the Computational Problems Based on Electromagnetic Wave Equations. Identifying the right Wavelet and Solving the Computational Problems Based on Electromagnetic Wave Equations.
M. Mohideen Abdul Razak & K. Obaidurrahman. (2021) Semi wavelet-based improved quasi static method for the analysis of PHWR transients. Annals of Nuclear Energy 163, pages 108530.
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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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Mart Ratas, Andrus Salupere & Jüri Majak. (2021) SOLVING NONLINEAR PDES USING THE HIGHER ORDER HAAR WAVELET METHOD ON NONUNIFORM AND ADAPTIVE GRIDS. Mathematical Modelling and Analysis 26:1, pages 147-169.
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Mehmet Tarık Atay, Onur Metin Mertaslan, Musa Kasım Ağca, Abdülkadir Yılmaz & Batuhan Toker. (2020) Haar wavelet collocation method for linear first order stiff differential equations. ITM Web of Conferences 34, pages 03001.
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Riccardo Bernardini. 2019. Wavelet Transform and Complexity. Wavelet Transform and Complexity.
Subrat Kumar Jena & S. Chakraverty. (2019) Dynamic behavior of an electromagnetic nanobeam using the Haar wavelet method and the higher-order Haar wavelet method. The European Physical Journal Plus 134:10.
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Amit K. Verma & Diksha Tiwari. (2019) Higher resolution methods based on quasilinearization and Haar wavelets on Lane–Emden equations. International Journal of Wavelets, Multiresolution and Information Processing 17:03, pages 1950005.
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A. S. V. Ravi Kanth & V. Geetha Vani. Solutions of strongly nonlinear oscillators via Haar wavelets. Solutions of strongly nonlinear oscillators via Haar wavelets.
Aditya Kaushik, Geetika Gupta, Manju Sharma & Vishal Gupta. (2017) A Wavelet Based Rationalized Approach for the Numerical Solution of Differential and Integral Equations. Differential Equations and Dynamical Systems 27:1-3, pages 181-202.
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Arun Kumar, Mohammad S. Hashmi & Abdul Q. Ansari. (2018) Investigation of Appropriate Wavelets for Computational Electromagnetics Problems. Investigation of Appropriate Wavelets for Computational Electromagnetics Problems.
Sourav Gur, Thomas Danielson, Qingang Xiong, Celine Hin, Sreekanth Pannala, George Frantziskonis, Aditya Savara & C. Stuart Daw. (2016) Wavelet-based surrogate time series for multiscale simulation of heterogeneous catalysis. Chemical Engineering Science 144, pages 165-175.
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A. Nguyen & P. Pasquier. (2015) An adaptive segmentation Haar wavelet method for solving thermal resistance and capacity models of ground heat exchangers. Applied Thermal Engineering 89, pages 70-79.
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Harpreet Kaur, R.C. Mittal & Vinod Mishra. (2014) Haar wavelet solutions of nonlinear oscillator equations. Applied Mathematical Modelling 38:21-22, pages 4958-4971.
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Ülo Lepik & Helle HeinÜlo Lepik & Helle Hein. 2014. Haar Wavelets. Haar Wavelets 45 57 .
Harpreet Kaur, R.C. Mittal & Vinod Mishra. (2013) Haar wavelet approximate solutions for the generalized Lane–Emden equations arising in astrophysics. Computer Physics Communications 184:9, pages 2169-2177.
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S.H. Mahdavi & S. Shojaee. (2013) Optimum time history analysis of SDOF structures using free scale of Haar wavelet. Structural Engineering and Mechanics 45:1, pages 95-110.
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Harpreet Kaur, R.C. Mittal & Vinod Mishra. (2011) Haar Wavelet Quasilinearization Approach for Solving Nonlinear Boundary Value Problems. American Journal of Computational Mathematics 01:03, pages 176-182.
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