1 - 7 of 7 Chapters
[Bases on the discussed numerical methods and considering other chapters of the book, we need to explain the error analysis first. In addition to explore the numerical integration methods, the interpolation of integrand function is needed, and this is one of the reasons to discuss about...
[Sometimes the points used for interpolation may not be exactly available, and we may have some parts of a data. For this type of data, the word “approximately” is commonly used.]
[Different types of polynomials play important roles in applied, numerical mathematics. The Legendre, Laguerre, Hermit polynomials are introduced in the theory of integration just like the way that Chebyshev polynomials are used in the theory of approximation.]
[Generally, the integral equation is an equation in which the unknown function is appeared under the integral signs. Based on many applications of these equations, it is needed to discuss several methods to solve them. Sometimes the unknown function is found analytically and numerically. In this...
[Integro-differential equations are encountered in various fields of science. It plays an important role in many branches of linear and nonlinear functional analysis and their applications are in Theory of Science, Engineering and Social science.]
[In this chapter, we are going to consider the interval Fredholm integral equations in which the deriving terms are an interval then the solution must be a function.]
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