Results 31 to 40 of about 53,514 (278)
Journal of Applied Mathematics, 2013 This paper develops a modified variational iteration method coupled with the Legendre wavelets, which can be used for the efficient numerical solution of nonlinear partial differential equations (PDEs). The approximate solutions of PDEs are calculated in
Fukang Yin +3 more
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Mathematical and Computational Applications, 2020 Free in-plane vibrations of a scimitar-type nonprismatic rotating curved beam, with a variable cross-section and increasing sweep along the leading edge, are calculated using an innovative, efficient and accurate solver called the Adomian modified ...
Desmond Adair, Martin Jaeger
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MathematicsThis paper presents a Neural Network-Based Symbolic Computation Algorithm (NNSCA) for solving the (2+1)-dimensional Yu-Toda-Sasa-Fukuyama (YTSF) equation.
Jiang-Long Shen +3 more
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New Exact Jacobi Elliptic Function Solutions for the Coupled Schrödinger-Boussinesq Equations
Journal of Applied Mathematics, 2013 A general algebraic method based on the generalized Jacobi elliptic functions expansion method, the improved general mapping deformation method, and the extended auxiliary function method with computerized symbolic computation is proposed to construct ...
Baojian Hong, Dianchen Lu
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Alexandria Engineering Journal, 2018 This paper addresses the problem of exact generic symbolic formulation and solution of Parameters Varying Systems (PVS) problems in control, systems, and optimization.
Hassen Taher Dorrah +2 more
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Real root finding for equivariant semi-algebraic systems [PDF]
, 2018 Let $R$ be a real closed field. We consider basic semi-algebraic sets defined by $n$-variate equations/inequalities of $s$ symmetric polynomials and an equivariant family of polynomials, all of them of degree bounded by $2d < n$.
Bank B. +5 more
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A Hyper-Dual Number Approach to Higher-Order Derivative Computation
AxiomsThis paper develops a theoretical framework for the computation of higher-order derivatives based on the algebra of hyper-dual numbers. Extending the classical dual number system, hyper-dual numbers provide a natural and rigorous mechanism for encoding ...
Ji Eun Kim
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Aligator.jl - A Julia Package for Loop Invariant Generation
, 2018 We describe the Aligator.jl software package for automatically generating all polynomial invariants of the rich class of extended P-solvable loops with nested conditionals.
A Humenberger +3 more
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All hyperbolic Coxeter $n$-cubes
, 2018 Beside simplices, $n$-cubes form an important class of simple polyhedra. Unlike hyperbolic Coxeter simplices, hyperbolic Coxeter $n$-cubes are not classified.
Jacquemet, Matthieu, Tschantz, Steven T.
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Advances in Mathematical Physics, 2012 The reductive perturbation method has been employed to derive the Korteweg-de Vries (KdV) equation for small- but finite-amplitude electrostatic ion-acoustic waves in weakly relativistic plasma consisting of warm ions and isothermal electrons.
S. A. El-Wakil +4 more
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