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Use of Restricted Variational Principles for the Solution of Differential Equations

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1 Author(s)
Rosen, Philip ; Applied Physics Laboratory, The Johns Hopkins University, Silver Spring, Maryland

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A technique is given by which nonlinear differential equations may be solved approximately, using variational principles for which certain restrictions are made. Ordinary first‐ and second‐order equations are discussed in detail. The method is extended to encompass partial differential equations and applied to the Boltzmann transport equation.

Published in:

Journal of Applied Physics  (Volume:25 ,  Issue: 3 )