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  • Integral and Integro-Differential Equations

    Wavelet-Based Numerical Methods

    This book provides a comprehensive study of numerical techniques for solving integral and integro-differential equations using wavelet-based approximation methods. It combines both theoretical insights and practical applications, focusing on integer- and fractional-order equations, including those with weakly singular kernels. Starting with key definitions and theorems from integral equations and ... Read more

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  • 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 ... Read more

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  • Graph Theory with Algorithms and its Applications

    In Applied Science and Technology

    Series series Engineering (R0)
    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 ... Read more

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  • Fractional Calculus with Applications for Nuclear Reactor Dynamics

    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 ... Read more

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  • 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. ... Read more

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  • Novel Methods for Solving Linear and Nonlinear Integral Equations

    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. ... Read more

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  • Nonlinear Differential Equations in Physics

    Novel Methods for Finding Solutions

    Series series Mathematics and Statistics (R0)
    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 ... Read more

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  • Numerical Analysis with Algorithms and Programming

    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 ... Read more

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  • Wavelet Methods for Solving Partial Differential Equations and Fractional Differential Equations

    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. ... Read more

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  • Applied Analysis, Computation and Mathematical Modelling in Engineering

    Select Proceedings of AACMME 2021

    Series series Springer Nature Proceedings excluding Computer Science
    This book is a compendium of the proceedings of the International Conference on Applied Analysis, Computation, and Mathematical Modelling in Engineering (AACMME-2021). The book covers a variety of applications such as mechanical, acoustical, physical, electrical, bio-mathematical, and computational fluid dynamics. Since mathematical modeling necessitates a wide range of skills and methods, the ... Read more

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    This new text surveys a series of fundamental problems in astrophysics, both analytically and computationally, for advanced students in physics and astrophysics. The contents are supported by more than 110 class-tested Mathematica® notebooks, allowing rigorous solutions to be explored in a visually engaging way. Topics covered include many classical and historically interesting problems, enabling ... Read more

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  • Introduction To Quantum Mechanics: Schrodinger Equation And Path Integral (Second Edition)

    This text on quantum mechanics begins by covering all the main topics of an introduction to the subject. It then concentrates on newer developments. In particular it continues with the perturbative solution of the Schrödinger equation for various potentials and thereafter with the introduction and evaluation of their path integral counterparts. Considerations of the large order behavior of the ... Read more

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