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A Course on Integral Equations with Numerical Analysis de Tofigh Allahviranloo

A Course on Integral Equations with Numerical Analysis: Mathematical Engineering

Autor Tofigh Allahviranloo, Armin Esfandiari
en Limba Engleză Hardback – 31 oct 2021
This book suggests that the numerical analysis subjects’ matter are the important tools of the book topic, because numerical errors and methods have important roles in solving integral equations. Therefore, all needed topics including a brief description of interpolation are explained in the book. The integral equations have many applications in the engineering, medical, and economic sciences, so the present book contains new and useful materials about interval computations including interval interpolations that are going to be used in interval integral equations.
The concepts of integral equations are going to be discussed in two directions, analytical concepts, and numerical solutions which both are necessary for these kinds of dynamic systems. The differences between this book with the others are a full discussion of error topics and also using interval interpolations concepts to obtain interval integral equations. All researchers and students in the field of mathematical, computer, and also engineering sciences can benefit the subjects of the book.

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Specificații

ISBN-13: 9783030853495
ISBN-10: 3030853497
Pagini: 224
Ilustrații: X, 214 p. 3 illus.
Dimensiuni: 160 x 241 x 18 mm
Greutate: 0.45 kg
Ediția:1st ed. 2022
Editura: Springer
Colecția Mathematical Engineering
Seria Mathematical Engineering

Locul publicării:Cham, Switzerland

Cuprins

Introduction to Numerical Analysis.- Interval interpolation.- Orthogonal polynomials and Least square approximation.- Integral equations.- Numerical methods for Integral equations.- Numerical methods for Integral-differential equations.- Introduction to Interval Integral equations.

Textul de pe ultima copertă

This book suggests that the numerical analysis subjects’ matter are the important tools of the book topic, because numerical errors and methods have important roles in solving integral equations. Therefore, all needed topics including a brief description of interpolation are explained in the book. The integral equations have many applications in the engineering, medical, and economic sciences, so the present book contains new and useful materials about interval computations including interval interpolations that are going to be used in interval integral equations.
The concepts of integral equations are going to be discussed in two directions, analytical concepts, and numerical solutions which both are necessary for these kinds of dynamic systems. The differences between this book with the others are a full discussion of error topics and also using interval interpolations concepts to obtain interval integral equations. All researchers and students in the field of mathematical, computer, and also engineering sciences can benefit the subjects of the book.

Caracteristici

Presents a comprehensive treatment of on Integral Equations with Numerical Analysis Focuses on numerical integration and integral equations which are useful for all engineering sciences Explains theoretical and numerical aspects of solving integral equations

Notă biografică

Tofigh Allahviranloo is a full professor of applied mathematics at Istinye University in Turkey and the Islamic Azad University (IAU) Science and Research Branch in Iran. He has previously worked at several universities, including the University of Prince Edward Island in Canada, Izmir University, and Bahcesehir University in Turkey. As a mathematician and computer scientist, Prof. Allahviranloo is passionate about multi- and interdisciplinary research. He specializes in fundamental research in fuzzy applied mathematics, particularly fuzzy differential equations, and is focused on innovative applications in applied biological sciences. Currently, he is developing a new mathematical space to address complex uncertainties and is defining a new concept of uncertainty. Safoura Rezaei Aderyani is a Ph.D. student in Mathematics at the Iran University of Science and Technology. She has extensively published papers on Ulam's type stability, including studies on difference, differential, functional, and integral equations. Her work also explores the applications of Ulam's type stability and its connections to other mathematical areas. Additionally, Rezaei Aderyani has contributed as an editor to several papers and special volumes focused on these subjects. Reza Saadati is a faculty member at the Department of mathematics, Iran University of Science and Technology, in Iran. Dr. Saadati has authored over 5 international books and approximately 280 papers published by renowned publishers like Elsevier, Springer, and Wiley. He is the editor of several well-known journals such as Iran J Fuzzy System and fixed point theory and algorithms for Sci. and Eng-Springer. Chenkuan Li has been a full professor at the Department of Mathematics and Computer Science since 2006. His research activities are devoted to distribution theory, generalized integral transforms, fractional analysis, and nonlinear differential equations with fixed point theory. He has published over 100 papers and has been supported by the Natural Sciences and Engineering Research Council of Canada for a long time. In addition, he was awarded the Brandon University Senate Award for Excellence in Research 2015 and Teaching in 2016.