Results 11 to 20 of about 2,896 (167)
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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Chebyshev-Based Numerical Model As First, Second and Third Order Initial Value Problems Solver
Journal of Mathematical Sciences & Computational Mathematics, 2023 A single numerical model as integrator of initial value problems of multi-order (1st, 2nd and 3rd) ordinary differential equations is introduced. Utilizing Chebyshev polynomials as the trial function, the method is formulated firstly, by obtaining the continuous form of the proposed scheme via collocation technique and later, arrange in a block-by ...
Kazeem Oladapo, Adeyefa Emmanuel
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DETERMINING OF CONTINUOUS DELAY IN A SPECTRAL PROBLEM FOR CHEBYSHEV OPERATOR OF THE FIRST KIND
Bulletin of the South Ural State University series "Mathematics. Mechanics. Physics", 2022 A perturbed singular ordinary differential Chebyshev operator of the first kind with continuous delay is considered in this paper. For an arbitrary numerical sequence that does not differ much from eigenvalues sequence of an unperturbed operator, a problem is set to find the perturbation operator containing a continuous delay.
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Mathematics, 2022 Interval quantification for multibody systems can provide an accurate dynamic prediction and a robust reliability design. In order to achieve a robust numerical model, multiple interval uncertain parameters should be considered in the uncertainty ...
Xin Jiang, Zhengfeng Bai
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Dynamic multi‐objective optimisation of complex networks based on evolutionary computation
IET Networks, EarlyView., 2022 Abstract As the problems concerning the number of information to be optimised is increasing, the optimisation level is getting higher, the target information is more diversified, and the algorithms are becoming more complex; the traditional algorithms such as particle swarm and differential evolution are far from being able to deal with this situation ...
Linfeng Huang
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Abstract and Applied Analysis, 2021 In this article, a numerical method based on the shifted Chebyshev functions for the numerical approximation of the coupled nonlinear variable-order fractional sine-Gordon equations is shown.
MohammadHossein Derakhshan
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First and Second Chebyshev Wavelets Spectral Method for Solving Variational Problems
Journal of the College of Basic Education, 2023 في هذه الورقة ، تم تقديم مصفوفات تشيبيشيف العملياتية للتكامل (الأول والثاني) للحلول التقريبية للمشكلات المتغيرة.الفكرة الرئيسية وراء هذا النهج هي أنه اختصر مثل هذه المشاكل إلى مشاكل حل أنظمة المعادلات الجزائرية باستخدام الطريقة الطيفية. هناك حاجة إلى عدد قليل فقط من موجات تشيبيشيف للحصول على نتائج مرضية. يتم توضيح تطبيقات الطريقة المقترحة من خلال أمثلة
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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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Regularization technique and numerical analysis of the mixed system of first and second-kind Volterra–Fredholm integral equations [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2019 It is important to note that mixed systems of first and second-kind Volterra–Fredholm integral equations are ill-posed problems, so that solving discretized system of such problems has a lot of difficulties.
S. Pishbin, J. Shokri
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