Results 21 to 30 of about 1,021 (186)
Results in Physics, 2023 A Hermite based block method (HBBM) is proposed for the numerical solution of second-order non-linear elliptic partial differential equations (PDEs). The development of the method was accomplished through the methodology of interpolation and collocation ...
Emmanuel Oluseye Adeyefa +2 more
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Hacettepe Journal of Mathematics and Statistics, 2021 In this study, we analyze the performance of a numerical scheme based on 3-scale Haar wavelets for dynamic Euler-Bernoulli equation, which is a fourth order time dependent partial differential equation. This type of equations governs the behaviour of a vibrating beam and have many applications in elasticity.
Ömer ORUÇ, Alaattin ESEN, Fatih BULUT
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Alexandria Engineering Journal, 2022 In this article, a wavelet collocation method based on linear Legendre multi-wavelets is proposed for the numerical solution of the first as well as higher orders Fredholm, Volterra and Volterra–Fredholm integro-differential equations.
Imran Khan +4 more
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Fibonacci Wavelet Method for the Solution of the Non-Linear Hunter–Saxton Equation
Applied Sciences, 2022 In this article, a novel and efficient collocation method based on Fibonacci wavelets is proposed for the numerical solution of the non-linear Hunter–Saxton equation. Firstly, the operational matrices of integration associated with the Fibonacci wavelets
H. M. Srivastava +2 more
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Computing continuous-time growth models with boundary conditions via wavelets [PDF]
, 2004 This paper presents an algorithm for approximating the solution of deterministic/stochastic continuous-time growth models based on the Euler's equation and the transversality conditions.
Esteban-Bravo, Mercedes +1 more
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Haar Wavelet Collocation Method for Solving Riccati and Fractional Riccati Differential Equations [PDF]
Bulletin of Mathematical Sciences and Applications, 2016 In this paper, numerical solutions of Riccati and fractional Riccati differential equations are obtained by the Haar wavelet collocation method. An operational matrix of integration based on the Haar wavelet is established, and the procedure for applying the matrix to solve these equations.
S.C. Shiralashetti, A.B. Deshi
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A fractional B-spline collocation method for the numerical solution of fractional predator-prey models [PDF]
, 2018 We present a collocation method based on fractional B-splines for the solution of fractional differential problems. The key-idea is to use the space generated by the fractional B-splines, i.e., piecewise polynomials of noninteger degree, as approximating
Pitolli, Francesca
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A hybrid Haar wavelet collocation method for nonlocal hyperbolic partial differential equations
, 2022 In this paper, we propose a hybrid collocation method based on finite difference and Haar wavelets to solve nonlocal hyperbolic partial differential equations. Developing an efficient and accurate numerical method to solve such problem is a difficult task due to the presence of nonlocal boundary condition.
Priyadarshi, Gopal, Halim, Abdul
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Mathematics, 2020 In this paper, an accurate and fast algorithm is developed for the solution of tenth order boundary value problems. The Haar wavelet collocation method is applied to both linear and nonlinear boundary value problems.
Rohul Amin +5 more
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Feedback Control Method Using Haar Wavelet Operational Matrices for Solving Optimal Control Problems
Abstract and Applied Analysis, 2013 Most of the direct methods solve optimal control problems with nonlinear programming solver. In this paper we propose a novel feedback control method for solving for solving affine control system, with quadratic cost functional, which makes use of only ...
Waleeda Swaidan, Amran Hussin
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