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Numerical Analysis with Algorithms and Programming
  • Language: en
  • Pages: 709

Numerical Analysis with Algorithms and Programming

  • Type: Book
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  • Published: 2018-09-03
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  • Publisher: CRC Press

Numerical Analysis with Algorithms and Programming is the first comprehensive textbook to provide detailed coverage of numerical methods, their algorithms, and corresponding computer programs. It presents many techniques for the efficient numerical solution of problems in science and engineering. Along with numerous worked-out examples, end-of-chapter exercises, and Mathematica® programs, the book includes the standard algorithms for numerical computation: Root finding for nonlinear equations Interpolation and approximation of functions by simpler computational building blocks, such as polynomials and splines The solution of systems of linear equations and triangularization Approximation of...

Generalized Fractional Order Differential Equations Arising in Physical Models
  • Language: en

Generalized Fractional Order Differential Equations Arising in Physical Models

This book analyzes the various semi-analytical and analytical methods for finding approximate and exact solutions of fractional order partial differential equations. It explores approximate and exact solutions obtained by various analytical methods for fractional order partial differential equations arising in physical models.

Graph Theory with Algorithms and its Applications
  • Language: en
  • Pages: 223

Graph Theory with Algorithms and its Applications

The book has many important features which make it suitable for both undergraduate and postgraduate students in various branches of engineering and general and applied sciences. The important topics interrelating Mathematics & Computer Science are also covered briefly. The book is useful to readers with a wide range of backgrounds including Mathematics, Computer Science/Computer Applications and Operational Research. While dealing with theorems and algorithms, emphasis is laid on constructions which consist of formal proofs, examples with applications. Uptill, there is scarcity of books in the open literature which cover all the things including most importantly various algorithms and applications with examples.

Wavelet Methods for Solving Partial Differential Equations and Fractional Differential Equations
  • Language: en
  • Pages: 251

Wavelet Methods for Solving Partial Differential Equations and Fractional Differential Equations

  • Type: Book
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  • Published: 2018-01-12
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  • Publisher: CRC Press

The main focus of the book is to implement wavelet based transform methods for solving problems of fractional order partial differential equations arising in modelling real physical phenomena. It explores analytical and numerical approximate solution obtained by wavelet methods for both classical and fractional order partial differential equations.

Fractional Calculus with Applications for Nuclear Reactor Dynamics
  • Language: en
  • Pages: 232

Fractional Calculus with Applications for Nuclear Reactor Dynamics

  • Type: Book
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  • Published: 2015-07-29
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  • Publisher: CRC Press

Introduces Novel Applications for Solving Neutron Transport EquationsWhile deemed nonessential in the past, fractional calculus is now gaining momentum in the science and engineering community. Various disciplines have discovered that realistic models of physical phenomenon can be achieved with fractional calculus and are using them in numerous way

Novel Methods for Solving Linear and Nonlinear Integral Equations
  • Language: en
  • Pages: 265

Novel Methods for Solving Linear and Nonlinear Integral Equations

  • Type: Book
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  • Published: 2018-12-07
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  • Publisher: CRC Press

This book deals with the numerical solution of integral equations based on approximation of functions and the authors apply wavelet approximation to the unknown function of integral equations. The book's goal is to categorize the selected methods and assess their accuracy and efficiency.

Nonlinear Differential Equations in Physics
  • Language: en
  • Pages: 409

Nonlinear Differential Equations in Physics

This book discusses various novel analytical and numerical methods for solving partial and fractional differential equations. Moreover, it presents selected numerical methods for solving stochastic point kinetic equations in nuclear reactor dynamics by using Euler–Maruyama and strong-order Taylor numerical methods. The book also shows how to arrive at new, exact solutions to various fractional differential equations, such as the time-fractional Burgers–Hopf equation, the (3+1)-dimensional time-fractional Khokhlov–Zabolotskaya–Kuznetsov equation, (3+1)-dimensional time-fractional KdV–Khokhlov–Zabolotskaya–Kuznetsov equation, fractional (2+1)-dimensional Davey–Stewartson equati...

Chaotic Modelling and Simulation
  • Language: en
  • Pages: 364

Chaotic Modelling and Simulation

  • Type: Book
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  • Published: 2008-10-20
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  • Publisher: CRC Press

Offers Both Standard and Novel Approaches for the Modeling of SystemsExamines the Interesting Behavior of Particular Classes of ModelsChaotic Modelling and Simulation: Analysis of Chaotic Models, Attractors and Forms presents the main models developed by pioneers of chaos theory, along with new extensions and variations of these models. Using more

Numerical Analysis of Ordinary Differential Equations and Its Applications
  • Language: en
  • Pages: 244

Numerical Analysis of Ordinary Differential Equations and Its Applications

The book collects original articles on numerical analysis of ordinary differential equations and its applications. Some of the topics covered in this volume are: discrete variable methods, Runge-Kutta methods, linear multistep methods, stability analysis, parallel implementation, self-validating numerical methods, analysis of nonlinear oscillation by numerical means, differential-algebraic and delay-differential equations, and stochastic initial value problems.

Stochastic Integral And Differential Equations In Mathematical Modelling
  • Language: en
  • Pages: 319

Stochastic Integral And Differential Equations In Mathematical Modelling

The modelling of systems by differential equations usually requires that the parameters involved be completely known. Such models often originate from problems in physics or economics where we have insufficient information on parameter values. One important class of stochastic mathematical models is stochastic partial differential equations (SPDEs), which can be seen as deterministic partial differential equations (PDEs) with finite or infinite dimensional stochastic processes — either with colour noise or white noise. Though white noise is a purely mathematical construction, it can be a good model for rapid random fluctuations.Stochastic Integral and Differential Equations in Mathematical...