Results 81 to 90 of about 1,021 (186)
A 3-Scale Haar Wavelet Collocation Method for Numerical Solution of the Nonlinear Gardner Equation
Mediterranean Journal of MathematicsAbstract In this paper, a 3-scale Haar wavelet collocation method was applied to the nonlinear Gardner equation which can be used to describe the large-amplitude inner waves in the ocean. We start the solution process with the time discretization of the Gardner equation, with the help of finite difference method.
Bulut, Fatih +2 more
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Mathematical Methods in the Applied Sciences, Volume 47, Issue 3, Page 1218-1235, February 2024.If an initial frame of vectors {ei}$$ \left\{{e}_i\right\} $$ is related to a final frame of vectors {fi}$$ \left\{{f}_i\right\} $$ by, in geometric algebra (GA) terms, a rotor, or in linear algebra terms, an orthogonal transformation, we often want to find this rotor given the initial and final sets of vectors.
Anthony Lasenby +2 more
wiley +1 more source
A Novel Efficient Approach for Solving Nonlinear Caputo Fractional Differential Equations
Advances in Mathematical Physics, Volume 2024, Issue 1, 2024.Several scientific areas utilize fractional nonlinear partial differential equations (PDEs) to model various phenomena, yet most of these equations lack exact solutions (Ex‐Ss). Consequently, techniques for obtaining approximate solutions (App‐S), which sometimes yield Ex‐Ss, are essential for solving these equations.
Muhammad Imran Liaqat +5 more
wiley +1 more source
MathematicsIn this study, we introduce an algorithm that utilizes the Haar wavelet collocation method to solve the time-dependent Emden–Fowler equation. This proposed method effectively addresses both linear and nonlinear partial differential equations.
Mohammed N. Alshehri +4 more
doaj +1 more source
A spectral collocation method based on Haar wavelets for Poisson equations and biharmonic equations
Mathematical and Computer Modelling, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shi, Zhi, Cao, Yong-Yan
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Results in Applied MathematicsIn this paper, we present a wavelet collocation method for efficiently solving singularly perturbed differential–difference equations (SPDDEs) and one-parameter singularly perturbed differential equations (SPDEs) taking into account the singular ...
Shahid Ahmed +4 more
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, 2023 Abstract In this article, we considered wave propagation problems through heterogeneous media or hyperbolic type interface problems. A hybrid numerical technique is presented for the numerical solution (NS) of the these type of problems. The proposed method based on Haar wavelet collocation method (HWCM) and finite difference method (FDM).
Muhammad Asif +2 more
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VALUATION OF BOUNDARY-LINKED ASSETS [PDF]
This article studies the valuation of boundary-linked assets and their derivatives in continuous-time markets. Valuing boundary-linked assets requires the solution of a stochastic differential equation with boundary conditions, which, often, is not ...
Jose M. Vidal-Sanz +1 more
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Arab Journal of Basic and Applied SciencesIn this paper, a numerical investigation of a class of parabolic Volterra integro-differential equations has been carried out. Basically, the finite difference method associated with the Haar wavelet collocation technique is pursued. The main idea relies
Najem A. Mohammad +2 more
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Haar wavelet collocation method for the approximate solutions of Emden-Fowler type equations
Natural and Engineering Sciences, 2017 This paper investigates the Haar wavelet collocation method (HWCM) to obtain approximate solution of the linear Emden-Fowler type equations. To show the efficiency and accuracy of the proposed method, some problems are solved and the obtained solutions are compared with the approximate solutions obtained by using the other numerical methods as well ...
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