The modification of the generalized gauss-seidel iteration techniques for absolute value equations [PDF]
Computational Algorithms and Numerical Dimensions, 2022 This paper proposes two modified generalized Gauss-Seidel iteration techniques to determine the Absolute Value Equations (AVEs). Convergence of the new techniques is established under some appropriate conditions lastly; several numerical examples verify ...
Rashid Ali +3 more
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Aerospace, 2022 The application of the wings with a high aspect ratio for future-oriented transport category aircraft is being considered. Such a solution makes it possible to increase fuel efficiency by reducing induced drag.
Anatolii Kretov, Dmytro Tiniakov
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Efficient Technique for Solving (3+1)-D Fourth-Order Parabolic PDEs with Time-Fractional Derivatives
Axioms, 2023 In this presented research, a hybrid technique is proposed for solving fourth-order (3+1)-D parabolic PDEs with time-fractional derivatives. For this purpose, we utilized the Elzaki integral transform with the coupling of the homotopy perturbation method
Ramadan A. ZeinEldin +4 more
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From the Kirsch-Kress potential method via the range test to the singular sources method [PDF]
, 2022 We review three reconstruction methods for inverse obstacle scattering problems. We will analyse the relation between the Kirsch-Kress potential method 1986, the range test of Kusiak, Potthast and Sylvester (2003) and the singular sources method of ...
Schulz, J. +3 more
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A Higher-Order Numerical Scheme for Two-Dimensional Nonlinear Fractional Volterra Integral Equations with Uniform Accuracy [PDF]
, 2022 In this paper, based on the modified block-by-block method, we propose a higher-order numerical scheme for two-dimensional nonlinear fractional Volterra integral equations with uniform accuracy. This approach involves discretizing the domain into a large
Zi-Qiang Wang, Jun-Ying Cao, Qin Liu
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Algorithm for shear flows in arbitrary cross-sections of thin-walled bars [PDF]
Инженерно-строительный журнал, 2019 Development of a general computer program for the design and verification of thin-walled bar structural members remains an actual task. Despite the prevailing influence of normal stresses on the stress-strain state of thin-walled bars design and ...
V. Yurchenko
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On robust discretization methods for poroelastic problems: Numerical examples and counter-examples
Examples and Counterexamples, 2022 Finite element approximations of poroelastic materials are nowadays used within multiple applications. Due to wide variation of possible material parameters, robustness of the considered discretization is important.
Fleurianne Bertrand +2 more
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A Newton-type technique for solving absolute value equations
Alexandria Engineering Journal, 2023 The Newton-type technique is proposed for solving absolute value equations. This new method is a two-step technique with the generalized Newton technique as a predictor and corrector step is the Simpson’s method. Convergence results are established under
Alamgir Khan +7 more
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Numerical upscaling for heterogeneous materials in fractured domains [PDF]
, 2021 We consider numerical solution of elliptic problems with heterogeneous diffusion coefficients containing thin highly conductive structures. Such problems arise e.g. in fractured porous media, reinforced materials, and electric circuits.
Siyang Wang +9 more
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Higher Order Numerical Approaches for Nonlinear Equations by Decomposition Technique
IEEE Access, 2019 In this paper, a unique decomposition technique is implemented along with an auxiliary function for the best implementation. Some new and efficient techniques are introduced and analyzed for nonlinear equations.
Abdulghani Ragaa Alharbi +5 more
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