Haar wavelet collocation method for the numerical solution of singular initial value problems
Ain Shams Engineering Journal, 2016 In this paper, numerical solutions of singular initial value problems are obtained by the Haar wavelet collocation method (HWCM). The HWCM is a numerical method for solving integral equations, ordinary and partial differential equations.
S.C. Shiralashetti +2 more
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Haar Wavelet Collocation Method for Thermal Analysis of Porous Fin with Temperature-dependent Thermal Conductivity and Internal Heat Generation [PDF]
Journal of Applied and Computational Mechanics, 2017 In this study, the thermal performance analysis of porous fin with temperature-dependent thermal conductivity and internal heat generation is carried out using Haar wavelet collocation method.
George OGUNTALA, Raed Abd-Alhameed
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An approximation of one-dimensional nonlinear Kortweg de Vries equation of order nine. [PDF]
PLoS ONE, 2022 This research presents the approximate solution of nonlinear Korteweg-de Vries equation of order nine by a hybrid staggered one-dimensional Haar wavelet collocation method.
Sidra Saleem +2 more
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A reliable algorithm to compute the approximate solution of KdV-type partial differential equations of order seven. [PDF]
PLoS ONE, 2021 The approximate solution of KdV-type partial differential equations of order seven is presented. The algorithm based on one-dimensional Haar wavelet collocation method is adapted for this purpose.
Sidra Saleem +2 more
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Haar wavelet collocation method for linear first order stiff differential equations [PDF]
ITM Web of Conferences, 2020 In general, there are countless types of problems encountered from different disciplines that can be represented by differential equations. These problems can be solved analytically in simpler cases; however, computational procedures are required for more ...
Atay Mehmet Tarık +4 more
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Utilization of Haar wavelet collocation technique for fractal-fractional order problem [PDF]
Heliyon, 2023 This work is devoted for establishing adequate results for the qualitative theory as well as approximate solution of “fractal-fractional order differential equations” (F-FDEs).
Kamal Shah +2 more
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Fractal and Fractional, 2023 This paper aims to solve general fractional Lane-Emden-Fowler differential equations using the Haar wavelet collocation method. This method transforms the fractional differential equation into a nonlinear system of equations, which is further solved for ...
Kholoud Saad Albalawi +3 more
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A Collocation Method for Numerical Solution of Nonlinear Delay Integro-Differential Equations for Wireless Sensor Network and Internet of Things [PDF]
Sensors, 2020 Wireless sensor network and industrial internet of things have been a growing area of research which is exploited in various fields such as smart home, smart industries, smart transportation, and so on.
Rohul Amin +2 more
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Efficient numerical technique for solution of delay Volterra-Fredholm integral equations using Haar wavelet [PDF]
Heliyon, 2020 In this article, a computational Haar wavelet collocation technique is developed for the solution of linear delay integral equations. These equations include delay Fredholm, Volterra and Volterra-Fredholm integral equations.
Rohul Amin +3 more
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Approximations to linear Klein–Gordon Equations using Haar wavelet
Ain Shams Engineering Journal, 2021 In this research article, two Haar wavelet collocation methods (HWCMs) (namely one dimensional HWCM and two dimensional HWCM) are adapted to approximate linear homogeneous and linear non-homogeneous Klein–Gordon equations.
Sana Ikram +2 more
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