Results 11 to 20 of about 15,083 (198)
Journal of Mathematics, 2022 In this work, some novel approximate analytical and numerical solutions to the forced damped driven nonlinear (FDDN) pendulum equation and some relation equations of motion on the pivot vertically for arbitrary angles are obtained.
M.R. Alharthi +3 more
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Entropy, 2023 The Information Bottleneck (IB) is a method of lossy compression of relevant information. Its rate-distortion (RD) curve describes the fundamental tradeoff between input compression and the preservation of relevant information embedded in the input ...
Shlomi Agmon
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Numerical Scheme based on Non-polynomial Spline Functions for the System of Second Order Boundary Value Problems arising in Various Engineering Applications [PDF]
Journal of Applied and Computational Mechanics, 2022 Several applications of computational science and engineering, including population dynamics, optimal control, and physics, reduce to the study of a system of second-order boundary value problems.
Anju Chaurasia +2 more
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Analytical and Numerical Monotonicity Analyses for Discrete Delta Fractional Operators
Mathematics, 2022 In this paper, first, we intend to determine the relationship between the sign of Δc0βy(c0+1), for 10 (the monotonicity of y), where Δc0βy(z) will be assumed to be negative for each z∈Nc0T:={c0,c0+1,c0+2,⋯,T} and some T∈Nc0:={c0,c0+1,c0+2,⋯}.
Kamsing Nonlaopon +5 more
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Eurasian Journal of Science and Engineering, 2023 The struggle to find the analytic solution of several differential equations leads to several issues like difficulty in finding solutions, singularities, convergent issues, and stability.
Salisu Ibrahim
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Fractal and Fractional, 2023 In this paper, we present a new highly efficient numerical algorithm for nonlinear variable-order space fractional reaction–diffusion equations. The algorithm is based on a new method developed by using the Gaussian quadrature pole rational approximation.
Muhammad Yousuf, Shahzad Sarwar
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Approaches to enthalpy approximation in numerical simulation of two-component alloy solidification
Computer Assisted Methods in Engineering and Science, 2023 The paper deals with the numerical modelling of solidification of two- component metal alloys. The numerical model was worked out using the enthalpy formulation of solidification and the finite element method.
Norbert Sczygiol
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Novel Approximations to the (Un)forced Pendulum–Cart System: Ansatz and KBM Methods
Mathematics, 2022 In the present investigation, some novel analytical approximations to both unforced and forced pendulum–cart system oscillators are obtained. In our investigation, two accurate and effective approaches, namely, the ansatz method with equilibrium point ...
Weaam Alhejaili +2 more
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Numerical Approximation of Some Infinite Gaussian Series and Integrals
Nonlinear Analysis, 2008 The paper deals with numerical computation of the asymptotic variance of the so-called increment ratio (IR) statistic and its modifications. The IR statistic is useful for estimation and hypothesis testing on fractional parameter H ∈ (0, 1) of random ...
M. Stoncelis, M. Vaičiulis
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On numerical stability of continued fractions
Математичні СтудіїThe paper considers the numerical stability of the backward recurrence algorithm (BR-algorithm) for computing approximants of the continued fraction with complex elements.
V. Hladun +3 more
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