Topics in Integral and Integro-Differential Equations

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

Highlights recent research in integral and integro-differential equations and their applications in various areas of science and engineering Discusses theory, methods, and applications related to various types of integral and integro-differential equations Presents new and advanced methods for solving integral and integro-differential equations

Inhalt
Wavelet-Galerkin method for second-order integro-dierential 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.