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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Computational Fluid Dynamics Using the Adaptive Wavelet-Collocation Method [PDF]
Fluids, 2021 Advancements to the adaptive wavelet-collocation method over the last decade have opened up a number of new possible areas for active research. Volume penalization techniques allow complex immersed boundary conditions to be used with high efficiency for ...
Yash Mehta +2 more
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A hybrid Daubechies wavelet collocation approach for a fractional-order SIR epidemic model with delay effects [PDF]
Scientific ReportsThis paper studies the transmission dynamics of influenza by using a fractional SIR (Susceptible-Infected-Removed) epidemic model with discrete delay to describe the short-term dynamics.
Nimai Sarkar, Mausumi Sen
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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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Hierarchical Adaptive Eddy-Capturing Approach for Modeling and Simulation of Turbulent Flows
Fluids, 2021 A short review of wavelet-based adaptive methods for modeling and simulation of incompressible turbulent flows is presented. Wavelet-based computational modeling approaches of different fidelities are recast into an integrated hierarchical adaptive eddy ...
Giuliano De Stefano, Oleg V. Vasilyev
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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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International Journal of Mathematical, Engineering and Management Sciences, 2023 The objective of this study is to explore non-dyadic Haar wavelets for higher order integro-differential equations. In this research article, non-dyadic collocation method is introduced by using Haar wavelet for approximating the solution of higher order
Ratesh Kumar, Sabiha Bakhtawar
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Fractal and Fractional, 2023 We offer a wavelet collocation method for solving the weakly singular integro-differential equations with fractional derivatives (WSIDE). Our approach is based on the reduction of the desired equation to the corresponding Volterra integral equation.
Haifa Bin Jebreen
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On the Wavelet Collocation Method for Solving Fractional Fredholm Integro-Differential Equations
Mathematics, 2022 An efficient algorithm is proposed to find an approximate solution via the wavelet collocation method for the fractional Fredholm integro-differential equations (FFIDEs).
Haifa Bin Jebreen, Ioannis Dassios
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Two-dimensional Haar Wavelet Method for Numerical Solution of Delay Partial Differential Equations
Journal of Function Spaces, 2022 In this paper, a two-dimensional Haar wavelet collocation method is applied to obtain the numerical solution of delay and neutral delay partial differential equations. Both linear and nonlinear problems can be solved using this method.
Rohul Amin +4 more
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