Tangent nonlinear equation in context of fractal fractional operators with nonsingular kernel. [PDF]
Math Sci (Karaj), 2022 Zafar ZUA +3 more
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High order compact finite difference schemes for a nonlinear Black-Scholes equation [PDF]
A nonlinear Black-Scholes equation which models transaction costs arising in the hedging of portfolios is discretized semi-implicitly using high order compact finite difference schemes. In particular, the compact schemes of Rigal are generalized.
Michel Fournié +2 more
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Some New Higher Order Weighted Newton Methods for Solving Nonlinear Equation with Applications
Mathematical and Computational Applications, 2019 Three new iterative methods for solving scalar nonlinear equations using weight function technique are presented. The first one is a two-step fifth order method with four function evaluations which is improved from a two-step Newton’s method having
Parimala Sivakumar, Jayakumar Jayaraman
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Nonlinear self-adjointness of the Krichever-Novikov equation
, 2014 It is known that the classification of third-order evolutionary equations with the constant separant possessing a nontrivial Lie-Bäcklund algebra (in other words, integrable equations) results in the linear equation, the KdV equation and the Krichever ...
Ibragimov, Nail,, Galiakberova, L. R.
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On the solutions of a nonlinear Volterra equation
Journal of Mathematical Analysis and Applications, 1972 Publisher Summary This chapter presents the solutions of a nonlinear Volterra equation. A real nonlinear Volterra equation is given by: where b(t), f(t), g(x) are given real functions. There exists a solution x(t) on 0 ≤ t ≤ ∞. Moreover, under this hypothesis any solution of il) on 0 ≤ t ≤ ∞ satisfies sup |x(t)| < ∞.
openaire +1 more source
Hamiltonian simulation for nonlinear partial differential equation by Schrödingerization
Scientific ReportsHamiltonian simulation is a fundamental algorithm in quantum computing that has attracted considerable interest owing to its potential to efficiently solve the governing equations of large-scale classical systems.
Shoya Sasaki +2 more
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New solutions to a category of nonlinear PDEs
Frontiers in PhysicsThe nonlinear partial differential equations are not only used in many physical models, but also fundamentally applied in the field of nonlinear science. In order to solve certain nonlinear partial differential equation, the extended hyperbolic auxiliary
Bacui Li, Fuzhang Wang
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Mechanism of wave breaking from a vacuum point in the defocusing nonlinear Schrödinger equation [PDF]
, 2014 We study the wave breaking mechanism for the weakly dispersive defocusing nonlinear Schrödinger equation with a constant phase dark initial datum that contains a vacuum point at the origin.
Moro, Antonio, A. Moro, Trillo, Stefano
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A New Adaptive Eleventh-Order Memory Algorithm for Solving Nonlinear Equations
MathematicsIn this article, we introduce a novel three-step iterative algorithm with memory for finding the roots of nonlinear equations. The convergence order of an established eighth-order iterative method is elevated by transforming it into a with-memory variant.
Sunil Panday +3 more
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Perturbed conformal field theory, nonlinear integral equations and spectral problems [PDF]
, 2000 This thesis is concerned with various aspects of perturbed conformal field theory and the methods used to calculate finite-size effects of integrable quantum field theories.
Dunning, Tania Clare +2 more
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