Results 31 to 40 of about 73,280 (293)
A Reliable Algorithm for a Local Fractional Tricomi Equation Arising in Fractal Transonic Flow
The pivotal proposal of this work is to present a reliable algorithm based on the local fractional homotopy perturbation Sumudu transform technique for solving a local fractional Tricomi equation occurring in fractal transonic flow.
Jagdev Singh +2 more
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QR Decomposition Based on Double-double Precision Gram-Schmidt Orthogonalization Method [PDF]
The Gram-Schmidt orthogonalization algorithm and its related modified algorithms often show numerical instability when computing ill-conditioned or large-scale matrices.To solve this problem,this paper explores the cumulative effect of round-off errors ...
JIN Jiexi, XIE Hehu, DU Peibing, QUAN Zhe, JIANG Hao
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With a view to providing a tool to accurately model time series processes which may be corrupted with errors such as measurement, round-off and data aggregation, this study developed an integrated moving average (IMA) model with a transition matrix for ...
S. A. Komolafe +3 more
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He-Laplace Method for Linear and Nonlinear Partial Differential Equations
A new treatment for homotopy perturbation method is introduced. The new treatment is called He-Laplace method which is the coupling of the Laplace transform and the homotopy perturbation method using He’s polynomials.
Hradyesh Kumar Mishra, Atulya K. Nagar
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The paper considers the problem of algorithmic differentiation of information matrix difference equations for calculating the information matrix derivatives in the information Kalman filter.
Andrey Tsyganov, Julia Tsyganova
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In this paper, a reliable approach based on homotopy perturbation method using sumudu transform is proposed to compute an approximate solution of the system of nonlinear differential equations governing the problem of two-dimensional viscous flow between
Sushila, Jagdev Singh, Y.S. Shishodia
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New Analytical Approach to Two-Dimensional Viscous Flow with a Shrinking Sheet via Sumudu Transform
In this paper, a new analytical approach based on homotopy perturbation Sumudu transform method (HPSTM) to a two-dimensional viscous flow with a shrinking sheet is presented.
Sushila RATHORE +2 more
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Engineering Applications of Adaptive Kalman Filtering Based on Singular Value Decomposition (SVD)
This paper presents the results of applying the new mechanization of the Kalman filter (KF) algorithm using singular value decomposition (SVD). The proposed algorithm is useful in applications where the influence of round-off errors reduces the accuracy ...
Juan Carlos Bermúdez Ordoñez +2 more
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A Phase-Fitted and Amplification-Fitted Explicit Runge–Kutta–Nyström Pair for Oscillating Systems
An optimized embedded 5(3) pair of explicit Runge–Kutta–Nyström methods with four stages using phase-fitted and amplification-fitted techniques is developed in this paper.
Musa Ahmed Demba +3 more
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This paper proposes a novel implementation scheme of geometrically nonlinear finite element programs, which automatically compute exact internal force vectors and element stiffness matrices by numerically differentiating a strain energy function at each ...
Masaki FUJIKAWA +5 more
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