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   Articles with "iteration method" as a keyword



Advanced Variational Iteration Method to Solve Two Different Models of Third‐Order Nonlinear Emden–Fowler‐Type Equations

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recommendations! Published in 2024 at "Mathematical Methods in the Applied Sciences"

DOI: 10.1002/mma.10617

Abstract: In this research, we propose an advanced variational iteration method by employing the Adomian polynomials with the variational iteration method to solve the system of third‐order nonlinear Emden–Fowler‐type equations arise in several applications. The third‐order… read more here.

Keywords: method; order nonlinear; variational iteration; third order ... See more keywords

A Generalized Time Iteration Method for Solving Dynamic Optimization Problems with Occasionally Binding Constraints

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recommendations! Published in 2020 at "Computational Economics"

DOI: 10.1007/s10614-020-10037-x

Abstract: We study a generalized version of Coleman (1990)’s time iteration method (GTI) for solving dynamic optimization problems. Our benchmark framework is an irreversible investment model with labor-leisure choice. The GTI algorithm is simple to implement… read more here.

Keywords: solving dynamic; dynamic optimization; iteration method; time iteration ... See more keywords

Nonlocal nonlinear vibration of an embedded carbon nanotube conveying viscous fluid by introducing a modified variational iteration method

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recommendations! Published in 2020 at "Journal of the Brazilian Society of Mechanical Sciences and Engineering"

DOI: 10.1007/s40430-020-2263-0

Abstract: In this study, the large amplitude vibration and the stability of embedded carbon nanotubes (CNTs) conveying viscous fluid are analyzed. The effects of small-scale are presented into the model based on the nonlocal elasticity theory… read more here.

Keywords: iteration method; vibration; embedded carbon; variational iteration ... See more keywords

An ellipsoidal Newton’s iteration method of nonlinear structural systems with uncertain-but-bounded parameters

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recommendations! Published in 2021 at "Computer Methods in Applied Mechanics and Engineering"

DOI: 10.1016/j.cma.2020.113501

Abstract: Abstract This paper presents an ellipsoidal Newton’s iteration method for predicting the response of nonlinear structural systems with uncertain-but-bounded parameters. In the study, the uncertainty in parameters is expressed in terms of an ellipsoid set… read more here.

Keywords: newton iteration; iteration; iteration method; method ... See more keywords

Downward continuation of airborne gravimetry data based on Poisson integral iteration method

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recommendations! Published in 2017 at "Geodesy and Geodynamics"

DOI: 10.1016/j.geog.2017.03.009

Abstract: Abstract The research and application of airborne gravimetry technology has become one of the hottest topics in gravity field in recent years. Downward continuation is one of the key steps in airborne gravimetry data processing,… read more here.

Keywords: iteration method; integral iteration; continuation; gravimetry ... See more keywords

Rates of convergence for the policy iteration method for Mean Field Games systems

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recommendations! Published in 2022 at "Journal of Mathematical Analysis and Applications"

DOI: 10.1016/j.jmaa.2022.126138

Abstract: Convergence of the policy iteration method for discrete and continuous optimal control problems holds under general assumptions. Moreover, in some circumstances, it is also possible to show a quadratic rate of convergence for the algorithm.… read more here.

Keywords: convergence policy; policy iteration; iteration method; convergence ... See more keywords

Nonlinear Regularized HSS Iteration Method for a Class of Nonlinear Saddle-Point Systems with Applications to Image Deblurring Problems

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recommendations! Published in 2024 at "Numerical Functional Analysis and Optimization"

DOI: 10.1080/01630563.2024.2405480

Abstract: Abstract In this paper, we construct a nonlinear regularized Hermitian and skew-Hermitian splitting (NRHSS) iteration method for a class of nonlinear saddle-point systems. The NRHSS iteration method can be seen as a generalization of the… read more here.

Keywords: nrhss iteration; method; nonlinear regularized; method class ... See more keywords

An accurate algorithm for solving biological population model by the variational iteration method using He’s polynomials

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recommendations! Published in 2018 at "Arab Journal of Basic and Applied Sciences"

DOI: 10.1080/25765299.2018.1510566

Abstract: Abstract In the present work, we apply the variational iteration method using He’s polynomials (VIMHP) for solving four examples of the biological population model (BPM). The proposed method is a combination of He’s variational iteration… read more here.

Keywords: iteration; method using; iteration method; using polynomials ... See more keywords

Quasilinearization variational iteration method for system of nonlinear ODEs

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recommendations! Published in 2024 at "Physica Scripta"

DOI: 10.1088/1402-4896/ad37ad

Abstract: In this manuscript, we discuss a new technique for solving system of nonlinear differential equations, which is a modification of the variation iteration method (VIM) implemented using the quasilinearization method and Adomian’s polynomial. The quasilinearization… read more here.

Keywords: quasilinearization variational; system; method; iteration method ... See more keywords

Precise Upper Surface Shimming Algorithm for Isochronous Cyclotrons With the Gauss–Newton Iteration Method

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recommendations! Published in 2025 at "IEEE Transactions on Nuclear Science"

DOI: 10.1109/tns.2025.3567768

Abstract: Magnetic field shimming is crucial for achieving isochronous acceleration in a cyclotron. Matrix methods based on least square fitting are commonly used to calculate the cutting curve of a shimming bar. However, this matrix method… read more here.

Keywords: newton iteration; gauss newton; method; iteration method ... See more keywords

Numerical solution of the general Volterra nth-order integro-differential equations via variational iteration method

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recommendations! Published in 2018 at "Asian-European Journal of Mathematics"

DOI: 10.1142/s1793557120500424

Abstract: In this paper, we use the variational iteration method (VIM) to construct approximate solutions for the general [Formula: see text]th-order integro-differential equations. We show that his method can be effectively and easily used to solve… read more here.

Keywords: iteration method; integro differential; order integro; differential equations ... See more keywords