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Approximation Methods for Solutions of Differential and Integral Equations (Hardcover, Reprint 2018)
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Approximation Methods for Solutions of Differential and Integral Equations (Hardcover, Reprint 2018)
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This book is the result of 20 years of investigations carried out
by the author and his colleagues in order to bring closer and, to a
certain extent, synthesize a number of well-known results, ideas
and methods from the theory of function approximation, theory of
differential and integral equations and numerical analysis. The
book opens with an introduction on the theory of function
approximation and is followed by a new approach to the Fredholm
integral equations to the second kind. Several chapters are devoted
to the construction of new methods for the effective approximation
of solutions of several important integral, and ordinary and
partial differential equations. In addition, new general results on
the theory of linear differential equations with one regular
singular point, as well as applications of the various new methods
are discussed.
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