Study Of Linear And Nonlinear Models With "Mathematica"
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A01=Czeslaw Maczka
A01=Sergii Skurativskyi
A01=Vsevolod Vladimirov
Andronov-Hopf Bifurcation
Author_Czeslaw Maczka
Author_Sergii Skurativskyi
Author_Vsevolod Vladimirov
Buckingham's Pi Theorem
Burgers Equation
Cascade of Period Doubling Bifurcations
Category=PBWR
Central Manifold
Chaotic Solution
Cole-Hopf Transformation
Compacton
Completely Integrable Equation
Conservation Law
Convection-Reaction-Diffusion Equation
Cuspon
Duffing Equation
Dynamical System
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Finite Elements Method
First Floquet Index
Fnite-Difference Method
Fourier Transform
Galerkin Method
Generalized Transport Model
Godunov Method
Hamiltonian System
Hirota Method
Homoclinic Orbit
Hopf's Equation
Interacting Compactons
Invariant Manifold
Kapitza's Pendulum
Korteweg-De Vries Equation
Lagrange's Formalism
Lameray Diagram
Laplace Transform
Limit Cycle
Local Bifurcation
Logistic Equation
Logistic Map
Loopon
Lorenz Map
Lottka-Volterra Model
Lyapunov Index
Multi-Periodic Oscillations
Multiscale Decomposition Method
Multisolitons
Navier-Stokes System
Nesterenko's Equation
Parametric Resonance
Phase Portrait
Point Explosion
Relaxing Hydrodynamic-Type Model
Rosenau-Hyman Equation
Rossler System
Shock-Wave Solution
Soliton-Like Solution
Stability of the Numerical Scheme
Sturm-Liouville Problem
Systems with One Degree of Freedom
Thermal Explosion
Tipon
Traveling Wave Solution
Van Der Pol's Equation
Viscous Shock Wave
Product details
- ISBN 9789811266225
- Publication Date: 30 Jan 2023
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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The book is devoted to the problems of modeling physical systems and fields using the tools and capabilities of the "Mathematica" software package. In the process of teaching classical courses in mechanics and mathematical physics, one often has to overcome significant difficulties associated with the cumbersomeness of the mathematical apparatus, which more than once distracts from the essence of the problems under consideration. The use of the "Mathematica" package, which has a rich set of analytical and graphic tools, makes the presentation of classic issues related to modeling and interpretation of physical processes much more transparent. This package enables the visualization of both analytical solutions of nonlinear differential equations and solutions obtained in the form of infinite series or special functions.The textbook consists of two parts that can be studied independently of each other. The first part deals with the issues of nonlinear mechanics and the theory of oscillations. The second part covers linear problems of classical mathematical physics and nonlinear evolution models describing, inter alia, transport phenomena and propagation of waves. The book contains the codes of programs written in the "Mathematica" package environment. Supplementary materials of programs illustrating and often complementing the presented material are available on the publisher's website.
