MTH 402 THEORY OF PARTIAL DIFFERENTIAL EQUATIONS (3 Units)

Theory and solutions of first-order and second order linear equations.  Classification, characteristics, cononial forms, Cauchy problems.  Elliptic equations; laplace’s and posson’s formulase, properties of harmonic functions.  Hyperbolic equations; wave equations, retarded potential; transmission line equation, Riemann method.  Parabolic equation.  Diffusion equation, singularity function, boundary and initial – value problem.

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