An initial value method for solving Fredholm integral equation of the first kind

✍ Scribed by V. Vemuri; Fang-Pai Chen

• Publisher: Elsevier Science
• Year: 1974
• Tongue: English
• Weight: 817 KB
• Volume: 297
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/0016-0032(74)90103-3

✦ Synopsis

T?w d@culties in solving Fredholm integral equations of the first kind are well bnown. A classical method has been to convert the equation into a set of m linear algebraic equation8 in n unknown8 (rng n). For computational convenience, it is customary to force m = n and solve the resulting ill-conditioned system using one technique or other. In the general ca8e, a feasible solution, if it exists, can be fou??d by determining the generalized inverse of the coeficient matrix. One method of @ding the generalized inverse is to reformulate the problem and observe the steady state response of a system of ordinary differential equations with prescribed initial conditions. ReSult8 obtained from this reform&&on are found to be comparable in quality to those obtained earlier by other methods. Analog and digital computer implementations a.re discussed.