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El. knyga: Topics in Integral and Integro-Differential Equations: Theory and Applications

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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

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.
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