Triangular Decomposition of CP Factors of a Third-Order Tensor with Application to Solving Nonlinear Systems of Equations
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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 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
Fixed point theorems for Geraghty-type mappings applied to solving nonlinear Volterra-Fredholm integral equations in modular G-metric spaces
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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
A Modified Newton–Özban Composition for Solving Nonlinear Systems
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DOI: 10.1142/s0219876219500476
Abstract: In this work, a modified Newton–Özban composition of convergence order six for solving nonlinear systems is presented. The first two steps of proposed scheme are based on third-order method given by Özban [Özban, A. Y.… read more here.
Keywords: newton zban; method; zban composition; modified newton ... See more keywords
Wavelets method for solving nonlinear stochastic Itô–Volterra integral equations
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DOI: 10.1515/gmj-2018-0009
Abstract: Abstract In this paper, a new computational method based on the Chebyshev wavelets (CWs) is proposed for solving nonlinear stochastic Itô–Volterra integral equations. In this way, a new stochastic operational matrix (SOM) for the CWs… read more here.
Keywords: stochastic volterra; nonlinear stochastic; method; volterra integral ... See more keywords
Efficient algorithms for solving nonlinear fractional programming problems
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DOI: 10.2298/fil1907149d
Abstract: In this paper, an efficient algorithm based on the Pascoletti-Serafini scalarization (PS) approach is proposed to obtain almost uniform approximations of the entire Pareto front of bi-objective optimization problems. Five test problems with convex, non-convex,… read more here.
Keywords: fractional programming; algorithm based; solving nonlinear; programming problems ... See more keywords