Results 11 to 20 of about 2,815 (144)
Adapted Newton-Kantorovich Methods for Nonlinear Integral Equations [PDF]
Journal of Mathematics and Statistics, 2016 For this work, the main idea is to make an adapted modification to the Newton-Kantorovich method destined to solve a nonlinear integral equations, so that by this technical method we obtain a simple application to this solution. Moreover, we compare the numerical results obtained by this method against ones obtained by another authors.
Mostefa Nadir, Amina Khirani
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Materials Research, 2012 A semi-analytical approach for analysis of laminated plates with general boundary conditions under a general distribution of loads is developed. The non-linear equations are solved by the Newton-Kantorovich-Quadrature (NKQ) method which is a combination ...
Rasoul Khandan +4 more
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Fitted numerical method for singularly perturbed Burger–Huxley equation
Boundary Value Problems, 2022 This paper deals with the numerical treatment of a singularly perturbed unsteady Burger–Huxley equation. We linearize the problem using the Newton–Raphson–Kantorovich approximation method.
Imiru T. Daba, Gemechis F. Duressa
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European Journal of Mathematical Analysis, 2023 Developments are presented for the semi-local convergence of Newton’s method to solve Banach space-valued nonlinear equations. By utilizing a new methodology, we provide a finer convergence analysis with no additional conditions than in earlier results ...
Samundra Regmi +3 more
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Axioms, 2023 We have proposed a development of the variational iteration method (VIM), or extended Kantorovich method, by studying physically nonlinear (FN) or geometrically nonlinear (GN) Kirchhoff nanoplates as an example. The modified couple stress theory was used
Aleksey D. Tebyakin +3 more
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Mathematics, 2022 There are a plethora of semi-local convergence results for Newton’s method (NM). These results rely on the Newton–Kantorovich criterion. However, this condition may not be satisfied even in the case of scalar equations.
Samundra Regmi +3 more
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Minimal convex extensions and finite difference discretization of the quadratic Monge-Kantorovich problem [PDF]
, 2018 We present an adaptation of the MA-LBR scheme to the Monge-Amp{\`e}re equation with second boundary value condition, provided the target is a convex set.
Benamou, Jean-David, Duval, Vincent
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Numerical treatment of singularly perturbed unsteady Burger-Huxley equation
Frontiers in Applied Mathematics and Statistics, 2023 This article deals with the numerical treatment of a singularly perturbed unsteady Burger-Huxley equation. The equation is linearized using the Newton-Raphson-Kantorovich approximation method.
Imiru Takele Daba, Gemechis File Duressa
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The convergence theorem for fourth-order super-Halley method in weaker conditions
Journal of Inequalities and Applications, 2016 In this paper, we establish the Newton-Kantorovich convergence theorem of a fourth-order super-Halley method under weaker conditions in Banach space, which is used to solve the nonlinear equations.
Lin Zheng
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The Role of a Priori Estimates in the Method of Non-local Continuation of Solution by Parameter
Известия Иркутского государственного университета: Серия "Математика", 2020 An iterative method for continuation of solutions with respect to a parameter is proposed. The nonlocal case is studied when the parameter belongs to the segment of the real axis.
N.А. Sidorov
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