Browsing by Author "Anvarjon A. Ahmedov"
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Publication Approximation Of Improper Integral Based On Haar Wavelets(Journal of Multidisciplinary Engineering Science and Technology, 2019) ;Mohammad Hasan Abdul Sathar ;Ahmad Fadly Nurullah Rasedee ;Anvarjon A. AhmedovNor Fadzillah MokhtarPrevious numerical methods for solving definite integrals based on Haar wavelets was introduced. In this research we extend the previous works by approximate the solution of improper integral based on Haar wavelets functions. Error analysis of the approximation by Haar wavelets are given. Numerical examples are conducted to show the accuracy of the method. - Some of the metrics are blocked by yourconsent settings
Publication Efficient Quadrature Rules For Numerical Integration Based On Linear Legendre Multi-wavelets(IOP Publishing Ltd, 2019) ;Nur Neesha Alimin ;Ahmad Fadly Nurullah Rasedee ;Mohammad Hasan Abdul Sathar ;Anvarjon A. AhmedovMuhammad Asyraf AsbullahIn this work, generalize solution based on linear Legendre multi-wavelets are proposed for single, double and triple integrals with variable limits. To obtain the numerical approximations for integrals, an algorithm with the properties of linear Legendre multi-wavelets are applied. The main benefits of this method are its simple applicable and efficient. Furthermore, the error analysis for single, double and triple integrals is worked out to show the efficiency of the method. Numerical examples for the integrals are conducted by using linear Legendre multi-wavelets in order to validate the error estimation. - Some of the metrics are blocked by yourconsent settings
Publication Numerical Integration Of Functions From Holder Classes Hs [0, 1] By Linear Legendre Multi Wavelets(Medwell Publications, 2019) ;Mohammad Hasan Abdul Sathar ;Anvarjon A. AhmedovAhmad Fadly Nurullah RasedeeIn the previous research, a direct computational method based on linear Legendre multi-wavelets has been applied for solving definite integrals. However, the error analysis to show the convergence of the method has not been discussed. Therefore, error analysis of the approximation method is established in the Holder classes Hs[0, 1] to show the efficiency of the method. The connections of the module of difference smoothness of the function is also established. Finally, some numerical examples of the implementation the method for the functions from Holder classes are presented. - Some of the metrics are blocked by yourconsent settings
Publication Numerical Solution of Nonlinear Fredholm and Volterra Integrals by Newton–Kantorovich and Haar Wavelets Methods(MDPI, 2020) ;Mohammad Hasan Abdul Sathar ;Ahmad Fadly Nurullah Rasedee ;Anvarjon A. AhmedovNorfifah BachokThe current study proposes a numerical method which solves nonlinear Fredholm and Volterra integral of the second kind using a combination of a Newton–Kantorovich and Haar wavelet. Error analysis for the Holder classes was established to ensure convergence of the Haar wavelets. Numerical examples will illustrate the accuracy and simplicity of Newton–Kantorovich and Haar wavelets. Numerical results of the current method were then compared with previous well-established methods. - Some of the metrics are blocked by yourconsent settings
Publication On The Sufficient Conditions Of The Localization Of The Fourier-laplace Series Of Distributions From Liouville Classes(IOP Publishing, 2013) ;Anvarjon A. Ahmedov ;Ahmad Fadly Nurullah RasedeeAbdumalik RakhimovIn this work we investigate the localization principle of the Fourier-Laplace series of the distribution. Here we prove the suffcient conditions of the localization of the Riesz means of the spectral expansions of the Laplace-Beltrami operator on the unit sphere.