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Nonstandard finite difference schemes for linear and non-linear Fokker–Planck equations
The goal of this paper is to develop a nonstandard finite difference-based numerical technique for solving the one-dimensional linear and non-linear...
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A Study of Extreme Water Waves Using a Hierarchy of Models Based on Potential-Flow Theory
The formation of extreme waves arising from the interaction of three line-solitons with equal far-field amplitudes is examined through a hierarchy of...
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Steady-State Flows of Ideal Incompressible Fluid with Velocity Pointwise Orthogonal to the Pressure Gradient
A new important relation between fluid mechanics and differential geometry is established. We study smooth steady solutions to the Euler equations...
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High-order weighted compact nonlinear scheme for solving degenerate parabolic equations
Solutions of the nonlinear degenerate parabolic equations may be discontinuous. The classical numerical schemes cannot well handle such...
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Numerical solution of time dependent nonlinear partial differential equations using a novel block method coupled with compact finite difference schemes
In this paper, we have developed a novel three step second derivative block method and coupled it with fourth order standard compact finite...
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Symbolic Computation of Solitary Wave Solutions and Solitons Through Homogenization of Degree
A simplified Hirota method for the computation of solitary waves and solitons of nonlinear partial differential equations (PDEs) is presented. A...
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Lie symmetry analysis and conservation laws for the time fractional generalized advection–diffusion equation
In this paper, the Lie symmetry group method is employed to study the time fractional generalized advection–diffusion equation. The Lie symmetry...
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Blow-Up of the Solution to the Equation for Nonlinear Beam Vibrations with Allowance for Transverse Deformation Effects
AbstractBeam vibrations with allowance for deformation effects in the transverse direction are modeled using a nonlinear Sobolev-type differential...
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A. Proof of Thm. 4.34
Abstract not available
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Porous Elastic Soils with Fluid Saturation and Boundary Dissipation of Fractional Derivative Type
This paper deals with a one-dimensional system in the linear isothermal theory of swelling porous elastic soils subject to fractional derivative-type...
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The effect of Kelvin–Voigt dam** on the stability of Timoshenko laminated beams system with history
This paper considers a model composed of two identical and uniform Timoshenko beams, one on top of the other, which are held together by an adhesive...
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Complementi
In questo capitolo indichiamo in maniera informale e succinta alcuni esempi fra le numerosissime direzioni in cui si è sviluppata la teoria delle...
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Symbolic Computation on a (2+1)-Dimensional Generalized Nonlinear Evolution System in Fluid Dynamics, Plasma Physics, Nonlinear Optics and Quantum Mechanics
Nowadays, people are interested in many nonlinear models in sciences and engineering, e.g., a (2+1)-dimensional generalized nonlinear evolution...
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Stability Results for a Laminated Beam with Kelvin–Voigt Dam**
In this work, we consider a laminated beam subjected to Kelvin–Voigt dam**. Under the semigroup theory approach, applying the Lumer–Phillips...
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General decay of the solution to a nonlinear viscoelastic beam with delay
In this paper we consider a nonlinear viscoelastic beam with a linear delay term and infinite memory term. The well posedness of solutions is proved...
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A Study on the Exact Solutions of the Ramani Equation Using Lie Symmetry Analysis
Shock waves propagating in a plasma medium are modelled by the sixth-order nonlinear Ramani equation. All possible closed-form solutions to the...
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Exact Values of the Approximations of Differentiable Functions by Poisson-Type Integrals
The asymptotic properties of Poisson-type integrals on the classes of differentiable functions are analyzed using modern methods of the optimal...