Mathematics in Science and Engineering, Volume 18, Part 2Academic Press, 1972 - Engineering mathematics |
Contents
The Origin of Nonlinear Differential Equations | 1 |
Transformation and General Solutions | 2 |
Exact Methods of Solution | 3 |
Copyright | |
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Common terms and phrases
absolute invariants analysis Appl applied arbitrary asymptotic auxiliary conditions Bäcklund transformation becomes boundary conditions boundary layer C₁ calculation characteristics coefficients components Consequently constant convergence coordinates defined denote dependent derivatives determined diffusion equation discussed elastic elliptic employed expansion finite element flow fluid mechanics Gaggioli Galerkin method independent variables initial conditions integral Keller Math maximum principle Mech Navier-Stokes equations nodal displacements nodes nonlinear nonlinear problems obtained ordinary differential equations parameter partial differential equations perturbation procedure R₁ respect satisfies Eq Section solution of Eq solved strain stream function stress Theorem theory transformation two-dimensional u₁ Univ ux² v₁ values vector potential velocity vibration Volume vorticity zero Zienkiewicz θη дф дх ду