Results 1 to 10 of about 41 (41)
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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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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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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Tight wavelet frames in Lebesgue and Sobolev spaces
Journal of Function Spaces, Volume 2, Issue 3, Page 227-252, 2004., 2004 We study tight wavelet frame systems in Lp(ℝd) and prove that such systems (under mild hypotheses) give atomic decompositions of Lp(ℝd) for 1≺p≺∞. We also characterize Lp(ℝd) and Sobolev space norms by the analysis coefficients for the frame. We consider Jackson inequalities for best m‐term approximation with the systems in Lp(ℝd) and prove that such ...
L. Borup +3 more
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Discrete differential operators in multidimensional Haar wavelet spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 44, Page 2347-2355, 2004., 2004 We consider a class of discrete differential operators acting on multidimensional Haar wavelet basis with the aim of finding wavelet approximate solutions of partial differential problems. Although these operators depend on the interpolating method used for the Haar wavelets regularization and the scale dimension space, they can be easily used to ...
Carlo Cattani, Luis M. Sánchez Ruiz
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Reconstruction in time‐warped weighted shift‐invariant spaces with application to spline subspaces
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 65, Page 4131-4137, 2003., 2003 We discuss the reproducing kernel structure in shift‐invariant spaces and the weighted shift‐invariant spaces, and obtain the reconstruction formula in time‐warped weighted shift‐invariant spaces, then apply them to a spline subspace. In the spline subspace, we give a reconstruction formula in a time‐warped spline subspace.
Jun Xian, Yongjin Li
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