CRC Press Advanced Numerical Methods for Differential Equations: Applications in Science and Engineering (Mathematics and its Applications)

Mathematical models are used to convert real-life problems using mathematical concepts and language. These models are governed by differential equations whose solutions make it easy to understand real-life problems and can be applied to engineering and science disciplines. This book presents numerical methods for solving various mathematical models. This book offers real-life applications, includes research problems on numerical treatment, and shows how to develop the numerical methods for solving problems. The book also covers theory and applications in engineering and science. Engineers, mathematicians, scientists, and researchers working on real-life mathematical problems will find this book useful. About the Author Harendra Singh is an Assistant Professor in the Department of Mathematics, Post-Graduate College, Ghazipur-233001, Uttar Pradesh, India. He did his Master of Science (M.Sc.) in Mathematics from Banaras Hindu University, Varanasi and Ph.D. in Mathematics from Indian Institute of Technology (BHU), Varanasi, India. He has qualified GATE, JRF and NBHM in Mathematics. He is also awarded by post-doctoral fellowship (PDF) in Mathematics from National Institute of Science Education and Research (NISER) Bhubaneswar Odisha, India. He primarily teaches the subjects like real and complex analysis, functional analysis, Abstract Algebra and measure theory in post-graduate level course in mathematics. His area of interest is Mathematical Modelling, Fractional Differential Equations, Integral Equations, Calculus of Variations, Analytical and Numerical Methods. His works have been published in Applied Numerical Mathematics, Applied Mathematics and Computations, Applied Mathematical Modelling, Chaos Solitions & Fractals, Numerical Methods for Partial Differential Equations, Physica A, Astrophysics and Space Science, Electronic Journal of Differential Equations, Few Body-system and several other peer-reviewed international journals. He has edited a book published by CRC press Taylor and Francis. His 32 research papers have been published in various Journals of repute with h-index of 11. His sole author papers have been published in Applied Mathematics and Computations, Chaos Solitions & Fractals, Astrophysics and Space Science and other peer-reviewed international journals. He has attained a number of National and International Conferences and presented several research papers. He has also attended Short Terms Programs and Workshops. He is reviewer of various Journals. Jagdev Singh is an Professor in the Department of Mathematics, JECRC University, Jaipur-303905, Rajasthan, India. He did his Master of Science (M.Sc.) in Mathematics and Ph.D. in Mathematics from University of Rajasthan, India. He primarily teaches the subjects like mathematical modeling, real analysis, functional analysis, integral equations and special functions in post-graduate level course in mathematics. His area of interest is Integral Transforms, Special Functions, Fractional Calculus, Mathematical Modelling, Mathematical Biology, Fluid Dynamics, Applied Functional Analysis, Nonlinear Dynamics, Analytical and Numerical Methods. He has published three books: Advance Engineering Mathematics (2007), Engineering Mathematics-I (2008), Engineering Mathematics-II (2013). His works have been published in the Nonlinear Dynamics, Chaos Solitions & Fractals, Physica A, Journal of Computational and Nonlinear Dynamics, Applied Mathematical Modelling, Entropy, Advances in Nonlinear Analysis, Romanian Reports in Physics, Applied Mathematics and Computation, Chaos and several other peer-reviewed international journals. His 120 research papers have been published in various Journals of repute with h-index of 30. He has attained a number of National and International Conferences and presented several research papers. He has also attended Summer Courses, Short Terms Programs and Workshops. He is member of Editorial Board of various Journals of Mathe