SIAM Journal on Applied Mathematics, Vol. 22, No. 4 (Jun., 1972), pp. 629-647 (19 pages) The two-time perturbation procedure is applied to a class of inhomogeneous initial boundary value problems for ...

Boundary value problems in differential equations constitute a fundamental area of study in mathematical science, where solutions to differential equations are sought under prescribed conditions ...

R. E. O'Malley, Jr. A basic problem in singular perturabations is to study systems of differential equations whose order is reduced when a small parameter becomes zero. It is important for numerous ...

Inverse problems in fractional differential equations encompass the challenging task of deducing unknown parameters, source terms or initial conditions from observed data in systems governed by ...

Introductory course on using a range of finite-difference methods to solve initial-value and initial-boundary-value problems involving partial differential equations. The course covers theoretical ...

Reviews ordinary differential equations, including solutions by Fourier series. Physical derivation of the classical linear partial differential equations (heat, wave, and Laplace equations). Solution ...