Factorization of operators II: A nonlinear Volterra method for numerical solution of linear Fredholm equations

✍ Scribed by Alex McNabb; Alan Schumitzky

• Book ID: 104147999
• Publisher: Elsevier Science
• Year: 1970
• Tongue: English
• Weight: 917 KB
• Volume: 4
• Category: Article
• ISSN: 0022-0000
• DOI: 10.1016/s0022-0000(70)80003-4

✦ Synopsis

Factorization of integral operators is studied as a method for solving Fredholm equations. It is concluded that, by factorization, linear Fredholm equations can be effectively replaced by nonlinear Volterra equations. As a byproduct of the investigation, constructive proofs are obtained for existence and uniqueness of solutions to certain nonlinear systems of Volterra equations in two independent variables. Numerical examples are given.