Approximate Solution of Difference Equations

Carl M. Bender and Steven A. Orszag
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Carl M. Bender: Washington University, Department of Physics
Steven A. Orszag: Yale University, Department of Mathematics

Chapter Chapter Five in Advanced Mathematical Methods for Scientists and Engineers I, 1999, pp 205-246 from Springer

Abstract: Abstract Difference equations (recursion relations) occur so frequently in applied mathematics that we allot a full chapter to a discussion of the behavior of their solutions. We will study the problem of determining the behavior of a n , the solution to a difference equation, as n → ∞. This is the most common kind of asymptotics problem involving difference equations.

Keywords: Singular Point; Asymptotic Expansion; Difference Equation; Controlling Factor; Recursion Relation (search for similar items in EconPapers)
Date: 1999
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DOI: 10.1007/978-1-4757-3069-2_5

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