First order smooth composite Chebyshev finite difference method for solving coupled Lane-Emden problem in catalytic diffusion reactions [PDF]
MATCH Communications in Mathematical and in Computer Chemistry, 2021 A new effective technique based on Chebyshev Finite Difference Method is introduced. First order smoothness of the approximation polynomial at the end points of each sub-interval is imposed in addition to the continuity condition. Both round-off and truncation error analyses are given besides the convergence analysis.
Aydinlik, Soner, Kirisb, Ahmet
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An efficient 4-step block method for solution of first order initial value problems via shifted chebyshev polynomial [PDF]
Tropical Journal of Science and Technology, 2021 In this paper, we develop a four-step block method for solution of first order initial value problems of ordinary differential equations. The collocation and interpolation approach is adopted to obtain a continuous scheme for the derived method via Shifted Chebyshev Polynomials, truncated after sufficient terms.
Isah O., Salawu S., Olayemi S., Enesi O.
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Meshless local Petrov-Galerkin method for rotating Rayleigh beam using Chebyshev and Legendre polynomials [PDF]
Archive of Mechanical Engineering, 2022 The numerical solutions are obtained for rotating beams; the inclusion of centrifugal force term makes it difficult to get the analytical solutions. In this paper, we solve the free vibration problem of rotating Rayleigh beam using Chebyshev and Legendre
Vijay Panchore
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Numerical Solutions of Inverse Nodal Problems for a Boundary Value Problem
Mathematics, 2022 In this paper, we study inverse nodal problems for a boundary value problem. A uniqueness result for the potential function and a reconstruction method are obtained.
Yong Tang +3 more
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A new approach to the formation of systems of linear algebraic equations for solving ordinary differential equations by the collocation method [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2023 A new algorithm for the numerical solution of one-dimensional Cauchy problems and Poisson equations is implemented. The algorithm is based on the collocation method and representation of the solution as an expansion in Chebyshev polynomials.
Sevastianov, Leonid A. +2 more
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Aerospace, 2022 In this paper, a linear Chebyshev pseudospectral method (LCPM) is proposed to solve the nonlinear optimal control problems (OCPs) with hard terminal constraints and unspecified final time, which uses Chebyshev collocation scheme and quasi-linearization ...
Yang Li, Wanchun Chen, Liang Yang
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Numerical Solution of Optimal Control Problems Using New Third Kind Chebyshev Wavelets Operational Matrix of Integration [PDF]
Engineering and Technology Journal, 2014 In this paper, we first construct third kind Chebyshev wavelets on the interval [0,1). Then, a 2^k M×2^k M matrix P, named as almost third kind Chebyshev wavelets operational matrix of integration is constracted and used to reduce the optimal control ...
Asmaa Abdullah Abdurrahman
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On computation of Hough functions [PDF]
Geoscientific Model Development, 2016 Hough functions are the eigenfunctions of the Laplace tidal equation governing fluid motion on a rotating sphere with a resting basic state. Several numerical methods have been used in the past.
H. Wang, J. P. Boyd, R. A. Akmaev
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Numerical solution of eight order boundary value problems using Chebyshev polynomials [PDF]
Mathematics and Computational Sciences, 2023 First-kind Chebyshev polynomials are used as the basis functions in this study to present the approximations to the eighth-order boundary-value problems.
Musiliu Tayo Raji +5 more
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To Solution of Contact Problem for Rectangular Plate on Elastic Half-Space
Наука и техника, 2020 Until the present time there is no exact solution to the contact problem for a rectangular plate on an elastic base with distribution properties. Practical analogues of this design are slab foundations widely used in construction.
S. V. Bosakov
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