Topics in Integral and Integro-Differential Equations: Theory and Applications

ISBN-13: 9783030655082 / Angielski / Twarda / 2021 / 255 str.

Harendra Singh; Hemen Dutta; Marcelo M. Cavalcanti

Spis treści

Wavelet-Galerkin method for second-order integro-differential equations on product domains.- Analysis and spectral element solution of nonlinear integral equations of Hammerstein type.- Approximate methods for solving hypersingular integral equations.- Solutions of integral equations by reproducing kernel Hilbert space method.- Restricted global convergence domains for integral equations of the Fredholm-Hammerstein type.- Boundary integral equation formulation for fractional order theory of thermo-viscoelasticity.- Spectral methods for solving integro-differential equations and bibiliometric analysis.- An efficient numerical algorithm to solve Volterra integral equation of second kind.- An integral equation method for wave scattering by a pair of horizontal porous plates.

Blurb

This book includes different topics associated with integral and integro-differential equations and their relevance and significance in various scientific areas of study and research. Integral and integro-differential equations are capable of modelling many situations from science and engineering. Readers should find several useful and advanced methods for solving various types of integral and integro-differential equations in this book. The book is useful for graduate students, Ph.D. students, researchers and educators interested in mathematical modelling, applied mathematics, applied sciences, engineering, etc. 

Key Features

•                      New and advanced methods for solving integral and integro-differential equations

•                      Contains comparison of various methods for accuracy

•                      Demonstrates the applicability of integral and integro-differential equations in other scientific areas

•                      Examines qualitative as well as quantitative properties of solutions of various types of integral and integro-differential equations