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At least 181 records · Page 10

A program for the solution of integral equations

The program, first written in REDUCE, was implemented in MACSYMA with several additional techniques which are explained. By utilizing many methods, the program can obtain closed-form and series solutions to a large class of linear and nonlinear problems. One of the techniques developed, reduction to a differential equation, has not previously appeared in the literature in the general form described.

Bogen, R. A.↗

The resolvent of singular integral equations

The investigation reported is concerned with the construction of the resolvent for any given kernel function. In problems with ill-behaved inhomogeneous terms as, for instance, in the aerodynamic problem of flow over a flapped airfoil, direct numerical methods become very difficult. A description is presented of a solution method by resolvent which can be employed in such problems.

Williams, M. H.↗