Results 31 to 40 of about 3,143,040 (244)
Fractal and Fractional, 2022 The boundary value problem (BVP) for the varying coefficient linear Caputo-type fractional differential equation subject to the mixed boundary conditions on the interval 0≤x≤1 was considered.
Jun-Sheng Duan, Li-Xia Jing, Ming Li
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پژوهشهای ریاضی, 2021 Introduction In this study, we consider the differential equation with aftereffect under the separated boundary conditions on a finite interval. In fact, we consider the Sturm-Liouville operator disorganized by a Volterra integral operator. We obtain the
Shahrbanoo Akbarpoor +2 more
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International Journal of Applied Mechanics and Engineering, 2021 This work is devoted to the analysis of the linear temporal stability of a laminar dynamic boundary layer on a horizontal porous plane plate. The basic flow is assumed to be laminar and two-dimensional.
T.F. Lihonou +3 more
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A Chebyshev Spectral Method for Normal Mode and Parabolic Equation Models in Underwater Acoustics
, 2020 In this paper, the Chebyshev spectral method is used to solve the normal mode and parabolic equation models of underwater acoustic propagation, and the results of the Chebyshev spectral method and the traditional finite difference method are compared for
H. Tu +5 more
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Boundary Value ProblemsThis study utilizes a spectral tau method to acquire an accurate numerical solution of the time-fractional diffusion equation. The central point of this approach is to use double basis functions in terms of certain Chebyshev polynomials, namely Chebyshev
W. Abd-Elhameed, Y. Youssri, A. G. Atta
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, 2020 This paper provides a numerical approach for solving the time-fractional Fokker–Planck equation (FFPE). The authors use the shifted Chebyshev collocation method and the finite difference method (FDM) to present the fractional Fokker–Planck equation into ...
Haile Habenom, D.L. Suthar
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An approximate solution of the Blasius problem using spectral method
Partial Differential Equations in Applied MathematicsThis paper aims at finding the numerical approximation of a classical Blasius flat plate problem using spectral collocation method. This technique is based on Chebyshev pseudospectral approach that involves the solution is approximated using Chebyshev ...
Zunera Shoukat +6 more
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Solution of fractional boundary value problems by ψ-shifted operational matrices
AIMS Mathematics, 2022 In this paper, a numerical method is presented to solve fractional boundary value problems. In fractional calculus, the modelling of natural phenomenons is best described by fractional differential equations.
Shazia Sadiq, Mujeeb ur Rehman
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Advances in Mathematical Physics, 2017 The second-kind Chebyshev wavelets collocation method is applied for solving a class of time-fractional diffusion-wave equation. Fractional integral formula of a single Chebyshev wavelet in the Riemann-Liouville sense is derived by means of shifted ...
Fengying Zhou, Xiaoyong Xu
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Barekeng, 2022 The variant of Chebyshev-Halley’s method is an iterative method used for solving a nonlinear equation with third order of convergence. In this paper, we present some new variants of three steps Chebyshev-Halley’s method free from second derivative with ...
Yuslenita Muda +3 more
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