Results 1 to 10 of about 27 (26)
A mixed finite element discretisation of linear and nonlinear multivariate splines using the Laplacian penalty based on biorthogonal systems [PDF]
MethodsX, 2023 We consider a mixed finite element method for a linear multivariate spline using the Laplacian penalty. Our discretisation is based on biorthogonal systems leading to a very simple and efficient finite element scheme.
Bishnu P. Lamichhane
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Demonstratio Mathematica, 2022 For an entire function solution of generalized bi-axisymmetric potential equation, we obtain a relationship between the generalized growth characteristics and polynomial approximation errors in sup norm by using the general functions introduced by ...
Kumar Devendra, Alghamdi Azza M.
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Alexandria Engineering Journal, 2023 In this analysis, we use the high order cubic B-spline method to create approximating polynomial solutions for fractional Painlevé and Bagley-Torvik equations in the Captuo, Caputo-Fabrizio, and conformable fractional sense concerning boundary set ...
Lei Shi +7 more
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Cubic spline solutions of the ninth order linear and non-linear boundary value problems
Alexandria Engineering Journal, 2022 A lot of numerical formulations of physical phenomena contain 9th-order BVPs. The presented probe intends to consider the spline solutions of the 9th-order boundary value problems using Cubic B Spline(CBS).
Xiao-Zhong Zhang +5 more
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An efficient numerical approach for space fractional partial differential equations
Alexandria Engineering Journal, 2020 In this research work, authors are aiming to present a computational model based on hybrid B-spline collocation method (HBCM) to solve Space Fractional Partial Differential Equation (SFPDE).
Rabia Shikrani +6 more
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Empirical mode decomposition with shape-preserving spline interpolation
Results in Applied Mathematics, 2020 Empirical mode decomposition (EMD) is a popular, novel, user-friendly algorithm to decompose a given signal into its constituting components, utilizing spline interpolation.
Maria D. van der Walt
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Approximate solution for solving nonlinear fractional order smoking model
Alexandria Engineering Journal, 2020 In this paper, Generalized Mittag-Leffler function method (GMLFM) and Sumudu transform method (STM) are applied to study and solve the fractional order smoking model, where the derivatives are defined in the Caputo fractional sense.
A.M.S. Mahdy, N.H. Sweilam, M. Higazy
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Reproducing Kernel Hilbert Space and Coalescence Hidden-variable Fractal Interpolation Functions
Demonstratio Mathematica, 2019 Reproducing Kernel Hilbert Spaces (RKHS) and their kernel are important tools which have been found to be incredibly useful in many areas like machine learning, complex analysis, probability theory, group representation theory and the theory of integral ...
Prasad Srijanani Anurag
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Journal of Ocean Engineering and Science, 2018 A numerical treatment for self-adjoint singularly perturbed second-order two-point boundary value problems using trigonometric quintic B-splines is presented, which depend on different engineering applications.
Khalid K. Ali +2 more
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About one algorithm of bidimensional interpolation using splines [PDF]
Computer Science Journal of Moldova, 2011 In the paper an explicit algorithm for the problem of two-dimensional spline interpolation on a rectangular grid is proposed. MSC2000: 41A05, 41A15, 65D05, 65D07.
Igor Verlan
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