Triangular Decomposition of CP Factors of a Third-Order Tensor with Application to Solving Nonlinear Systems of Equations
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Scientific Computing"
DOI: 10.1007/s10915-021-01758-8
Abstract: In this paper, we focus on multi-linear systems of equations with a third-order CP-decomposed coefficient tensor, applying the LU decomposition on its factor matrices, a more easily solvable system is obtained. Also, a result on… read more here.
Keywords: nonlinear systems; systems equations; solving nonlinear; third order ... See more keywords
On a new technique for solving the nonlinear conformable time-fractional differential equations
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DOI: 10.1007/s11082-017-1178-1
Abstract: Real-world phenomena often are modelled by the nonlinear fractional differential equations. In this work, a novel technique called the $$\exp \left( { - \phi \left( \varepsilon \right)} \right)$$exp-ϕε method is employed to find the exact… read more here.
Keywords: technique; time fractional; time; fractional differential ... See more keywords
Review of some iterative methods for solving nonlinear equations with multiple zeros
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DOI: 10.1007/s13370-018-00650-3
Abstract: In this paper, some iterative methods with third order convergence for solving the nonlinear equation were reviewed and analyzed. The purpose is to find the best iteration schemes that have been formulated thus far. Hence,… read more here.
Keywords: iterative methods; equations multiple; review iterative; methods solving ... See more keywords
A Jacobian smoothing inexact Newton method for solving the nonlinear complementary problem
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DOI: 10.1007/s40314-024-02775-7
Abstract: In this paper, we propose a Jacobian smoothing inexact Newton-type algorithm for solving the nonlinear complementarity problem by reformulating it as a system of nonlinear equations. We show that the algorithm converges up to q-quadratically… read more here.
Keywords: inexact newton; jacobian smoothing; problem; solving nonlinear ... See more keywords
Trainable embedding quantum physics informed neural networks for solving nonlinear PDEs
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DOI: 10.1038/s41598-025-02959-z
Abstract: This paper proposes a novel approach for solving nonlinear partial differential equations (PDEs) with a quantum computer, the trainable embedding quantum physics informed neural network (TE-QPINN). We combine quantum machine learning (QML) with physics informed… read more here.
Keywords: physics informed; solving nonlinear; informed neural; quantum ... See more keywords
A new scheme for solving nonlinear Stratonovich Volterra integral equations via Bernoulli’s approximation
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DOI: 10.1080/00036811.2016.1208815
Abstract: In this paper, an efficient method for solving nonlinear Stratonovich Volterra integral equations is proposed. By using Bernoulli polynomials and their stochastic operational matrix of integration, these equations can be reduced to the system of… read more here.
Keywords: integral equations; nonlinear stratonovich; solving nonlinear; volterra integral ... See more keywords
A note on the convergence of the irrational Halley’s iterative algorithm for solving nonlinear equations
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DOI: 10.1080/00207160.2019.1664736
Abstract: In this note a sufficient condition for the convergence of the irrational Halley’s formula for solving nonlinear equations is obtained. In addition, we propose a new proof for the third-order convergence that justifies the use… read more here.
Keywords: irrational halley; nonlinear equations; convergence irrational; solving nonlinear ... See more keywords
θ –Parameter differential transform with homotopy analysis methods for solving nonlinear initial and boundary value problems
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DOI: 10.1080/25765299.2025.2537475
Abstract: Abstract Our article deals with a new improvement of the θ-parameterized differential transformation method (θ– PDTM) by combining it with the Homotopy analysis method (HAM) for solving both the nonlinear initial and the boundary value… read more here.
Keywords: method; solving nonlinear; homotopy analysis; boundary value ... See more keywords
Fixed point theorems for Geraghty-type mappings applied to solving nonlinear Volterra-Fredholm integral equations in modular G-metric spaces
Sign Up to like & getrecommendations! Published in 2021 at "Arab Journal of Mathematical Sciences"
DOI: 10.1108/ajms-10-2020-0098
Abstract: The authors prove the existence and uniqueness of fixed point of mappings satisfying Geraghty-type contractions in the setting of preordered modular G-metric spaces. The authors apply the results in solving nonlinear Volterra-Fredholm-type integral equations. The… read more here.
Keywords: fixed point; metric spaces; integral equations; solving nonlinear ... See more keywords
An Improved Hybrid PSO-TS Algorithm for Solving Nonlinear Equations of SHEPWM in Multilevel Inverters
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DOI: 10.1109/access.2022.3170442
Abstract: Selective Harmonic Elimination Pulse Width Modulation (SHEWM) can eliminate selected low order harmonics by solving nonlinear transcendental equations to obtain the switching angles in advance and achieve precise harmonics control. However, when solving nonlinear equations,… read more here.
Keywords: improved hybrid; solving nonlinear; nonlinear equations; algorithm ... See more keywords
Loop Formulation in Hybrid Analytical Modeling for Solving 2-D Nonlinear Magnetostatic Problems
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DOI: 10.1109/tmag.2021.3083418
Abstract: This article presents a novel formulation in hybrid analytic modeling (HAM) for solving 2-D nonlinear magnetic problems. This novel formulation, referred to as the loop formulation, solves the magnetic equivalent circuit (MEC) through Kirchhoff’s voltage… read more here.
Keywords: formulation; hybrid analytical; loop formulation; formulation hybrid ... See more keywords