Search Results - Numerical solutions to equations with nonlinear operators

Numerical solution of linear and nonlinear partial differential equations using the peridynamic differential operator by Madenci, Erdogan, Dorduncu, Mehmet, Barut, Atila, Futch, Michael

“…This study presents numerical solutions to linear and nonlinear Partial Differential Equations (PDEs…”
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Numerical Solution of Nonlinear Fractional Diffusion Equation in Framework of the Yang–Abdel–Cattani Derivative Operator by Malyk, Igor V., Gorbatenko, Mykola, Chaudhary, Arun, Sharma, Shivani, Dubey, Ravi Shanker

“… The analytical solutions obtained for the diffusion equation using the Yang–Abdel–Cattani derivative operator are compared with the analytical solutions obtained using the Riemann–Liouville (RL) derivative operator for the fractional order γ=0.99 (nearby 1) and with the exact solution at different values of t to verify the efficiency of the YAC derivative operator…”
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Numerical Solution Methods for a Nonlinear Operator Equation Arising in an Inverse Coefficient Problem by Gavrilov, S. V., Denisov, A. M.

“… The problem is reduced to a nonlinear operator equation for one of the unknown coefficients…”
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On the Numerical Solution to a Nonlinear Wave Equation Associated with the First Painleve Equation： an Operator-Splitting Approach by Glowinski, Roland, Quaini, Annalisa

“…The main goal of this article is to discuss the numerical solution to a nonlinear wave equation associated with the first of the celebrated Painlevd transcendent ordinary differential equations…”
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A Newton-like method for the numerical solution of nonlinear Fredholm-type operator equations by Kohaupt, L.

“…In a recent paper, Hernández and Salanova proposed an interesting Newton-like method for the solution of nonlinear Fredholm integral equations…”
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Numerical solution of the nonlinear Schrödinger equation with wave operator on unbounded domains by Li, Hongwei, Wu, Xiaonan, Zhang, Jiwei

“… (LABCs) for the nonlinear Schrödinger equation with wave operator on unbounded domains…”
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On the a posteriori estimates for inverse operators of linear parabolic equations with applications to the numerical enclosure of solutions for nonlinear problems by Kinoshita, Takehiko, Kimura, Takuma, Nakao, Mitsuhiro T.

“… Our estimation technique uses a full-discrete numerical scheme, which is based on the Galerkin method with an interpolation in time by using the fundamental solution for semidiscretization in space…”
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Methods for solution of nonlinear operator equations by Tanana, Vitaliĭ Pavlovich

“…No detailed description available for "Methods for Solution of Nonlinear Operator Equations"…”
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A hybrid approach for finding approximate solutions to constrained nonlinear monotone operator equations with applications by Abubakar, Auwal Bala, Kumam, Poom, Mohammad, Hassan, Ibrahim, Abdulkarim Hassan, Kiri, Aliyu Ibrahim

“…) method is proposed to solve constrained nonlinear monotone operator equations. The search direction is defined such that it is close to the one obtained by the memoryless Broyden-Fletcher-Goldferb-Shanno (BFGS) method…”
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Numerical verification of existence and inclusion of solutions for nonlinear operator equations by Oishi, Shin'ichi

“…Nonlinear operator equations of the type f( u) ≡ Lu + Nu = 0, u ∈ D( L) are considered, where L is a closed linear operator from a Banach space X to another Banach space Y and N a nonlinear operator from X to Y…”
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Dynamics of Different Nonlinearities to the Perturbed Nonlinear Schrödinger Equation via Solitary Wave Solutions with Numerical Simulation by Zafar, Asim, Raheel, Muhammad, Zafar, Muhammad Qasim, Nisar, Kottakkaran Sooppy, Osman, Mohamed S., Mohamed, Roshan Noor, Elfasakhany, Ashraf

“…This paper investigates the solitary wave solutions for the perturbed nonlinear Schrödinger equation with six different nonlinearities with the essence of the generalized classical derivative, which is known as the beta derivative…”
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Several conservative compact schemes for a class of nonlinear Schrödinger equations with wave operator by Cheng, Xiujun, Wu, Fengyan

“… Schrödinger equations with wave operator. It is proved that the numerical solutions are bounded and the numerical methods can achieve a convergence rate of O ( τ 2 + h 4…”
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Algebraic operator method for the construction of solitary solutions to nonlinear differential equations by Navickas, Zenonas, Bikulciene, Liepa, Rahula, Maido, Ragulskis, Minvydas

“…Solutions of the KdV equation are derived by the algebraic operator method based on generalized operators of differentiation…”
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Triangular Function Method is Adopted to Solve Nonlinear Stochastic It o∧–Volterra Integral Equations by Jiang, Guo, Chen, Dan, Liu, Fugang

“…This article presents the numerical solutions of nonlinear stochastic It –Volterra integral equations by using the basis function method under the global Lipschitz condition…”
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General hybrid (A,η,m)-proximal point algorithm frameworks for finding common solutions of nonlinear operator equations and fixed point problems by Lan, Heng-You, Cai, Lecai, Wu, Shulin

“…)-proximal point algorithm frameworks for finding the common solutions of nonlinear operator equations and fixed point problems of Lipschitz continuous operators in Hilbert spaces…”
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The construction of higher-order numerical approximation formula for Riesz derivative and its application to nonlinear fractional differential equations (I) by Ding, Hengfei, Yi, Qian

“…The main goal of this paper is to construct high-order numerical differential formulas approximating the Riesz derivative and apply them to the numerical solution of the nonlinear space fractional Ginzburg–Landau equations…”
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On the solution of hyperbolic equations using the peridynamic differential operator by Bekar, Ali Can, Madenci, Erdogan, Haghighat, Ehsan

“… This study presents a generalized upwind scheme, referred to as directional nonlocality, for the numerical solution of linear and nonlinear hyperbolic Partial Differential Equations (PDEs…”
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Towards Nonlinearity: The p-Regularity Theory by Bednarczuk, Ewa, Brezhneva, Olga, Leśniewski, Krzysztof, Prusińska, Agnieszka, Tret’yakov, Alexey A.

“… The structure of p-factor operators is used to propose optimality conditions and to construct novel numerical methods for solving degenerate nonlinear equations and optimization problems…”
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Superconvergence of a new energy dissipation finite element scheme for nonlinear Schrödinger equation with wave operator by Wang, Junjun, Shi, Dongyang, Cao, Lina, Pei, Jiaxuan

“…) for a nonlinear Schrödinger equation with wave operator (NLSW) and investigate its superconvergence behavior through introducing a new second order discrete approximation with respect to time…”
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Quasi-Periodic Standing Wave Solutions of Gravity-Capillary Water Waves by Berti, Massimiliano, Montalto, Riccardo

“…We prove the existence and the linear stability of small amplitude time…”
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