Main Page > BS Mathematics (Morning) (After 2 Years ADP Mathematics) > MATH-402 Partial Differential Equations
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MATH-402 Partial Differential Equations
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Introduction Review of ordinary differential equation in more than one variables Linear partial differential equations (PDEs) of the first order Cauchy’s problem for quasilinear first order PDEs PDEs of Second Order PDEs of second order in two independent variables with variable coefficients Linear transformation from one equation to another equation Normal form Cauchy’s problem for second order PDEs in two independent variables Adjoint Equation Adjoint operator Self adjoint equation and operator Linear PDEs in n independent variables Lagrange’s identity Green’s theorem for self adjoint operator Boundary Value Problems Laplace equation Dirichlet problem for a circle Poisson’s integral for a circle Solution of Laplace equation in Cartesian, cylindrical and spherical coordinates The wave equation in one dimension The wave equation in higher dimensions The heat equation Axially symmetric solutions |
| Credit hours/ Marks:- 3 |
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