In this research, analytical and numerical solutions are studied of a two–dimensional discrete electrical lattice, which is mathematically represented by the modified Zakharov–Kuznetsov equation.
Choonkill Park +4 more
semanticscholar +1 more source
Deterministic numerical solutions of the Boltzmann equation using the fast spectral method [PDF]
The Boltzmann equation describes the dynamics of rarefied gas flows, but the multidimensional nature of its collision operator poses a real challenge for its numerical solution. In this paper, the fast spectral method [36], originally developed by Mouhot
Reese, Jason M. +6 more
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Computed chaos or numerical errors
Discrete numerical methods with finite time-steps represent a practical technique to solve initial-value problems involving nonlinear differential equations.
L.-S. Yao
doaj +1 more source
Numerical Solutions with Linearization Techniques of the Fractional Harry Dym Equation
In this study, numerical solutions of the fractional Harry Dym equation are investigated. Linearization techniques are utilized for non-linear terms existing in the fractional Harry Dym equation. The error norms L2 and L∞ are computed.
A. Yokuş, Sema Gülbahar
semanticscholar +1 more source
The numerical solution of forward–backward differential equations: Decomposition and related issues [PDF]
NOTICE: this is the author’s version of a work that was accepted for publication in Journal of Computational and Applied Mathematics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and ...
Ford, Neville J. +3 more
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Designing a Bayesian Regularization Approach to Solve the Fractional Layla and Majnun System
The present work provides the numerical solutions of the mathematical model based on the fractional-order Layla and Majnun model (MFLMM). A soft computing stochastic-based Bayesian regularization neural network approach (BRNNA) is provided to investigate
Zulqurnain Sabir +3 more
doaj +1 more source
Constructing exact symmetric informationally complete measurements from numerical solutions [PDF]
Recently, several intriguing conjectures have been proposed connecting symmetric informationally complete quantum measurements (SIC POVMs, or SICs) and algebraic number theory.
David Marcus Appleby +3 more
semanticscholar +1 more source
High-Performance Computational Method for an Extended Three-Coupled Korteweg–de Vries System
This paper calculates numerical solutions of an extended three-coupled Korteweg–de Vries system by the q-homotopy analysis transformation method (q-HATM), which is a hybrid of the Laplace transform and the q-homotopy analysis method.
Panpan Wang, Xiufang Feng
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Chebyshev Collocation Method for the Fractional Fredholm Integro-Differential Equations
In this study, Chebyshev polynomials have been applied to construct an approximation method to attain the solutions of the linear fractional Fredholm integro-differential equations (IDEs).
Dilek Varol
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Consistency of a method of moments estimator based on numerical solutions to asset pricing models [PDF]
This paper considers the properties of estimators based on numerical solutions to a class of economic models. In particular, the numerical methods discussed are those applied in the solution of linear integral equations, specifically Fredholm equations ...
Burnside, C., Craig Burnside, A
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