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Approximate solutions of mixed problems for first order partial differential-functional equations. (English) Zbl 0737.35134

The author presents an approximate solution method for mixed problems for a nonlinear partial differential equation. A general one-step approximation method is presented for the discretization process of the problem under consideration. A detailed mathematical investigation has been presented for the existence of solutions and their uniqueness.

MSC:

35R10 Partial functional-differential equations
65M99 Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems
65N99 Numerical methods for partial differential equations, boundary value problems
35F20 Nonlinear first-order PDEs
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