Results 1 to 10 of about 11,164,966 (156)
Haar wavelet collocation method for the numerical solution of singular initial value problems [PDF]
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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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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Alexandria Engineering Journal, 2023 The primary goal of this study is to increase and improve the precision and order of convergence of the well-known Haar wavelet collocation method (HWCM) that is named as Higher order Haar wavelet collocation method (HHWCM).
Muhammad Ahsan +7 more
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Computation, 2023 In this paper, we introduce a novel approach employing two-dimensional uniform and non-uniform Haar wavelet collocation methods to effectively solve the generalized Burgers–Huxley and Burgers–Fisher equations.
Narendra Kumar +2 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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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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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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Alexandria Engineering Journal, 2020 This manuscript deals a numerical technique based on Haar wavelet collocation which is developed for the approximate solution of some systems of linear and nonlinear fractional order differential equations (FODEs).
Thabet Abdeljawad +4 more
doaj +3 more sources