On nonlinear time-dependent multivelocity transport equations
Journal Article
·
· Journal of Mathematical Analysis and Applications
The existence and uniqueness of a solution for a class of nonlinear multivelocity neutron transport equations are demonstrated, and a method for the determination of the solution is presented. A recursion formula for the construction of a solution by the method of successtve approximations and an error estimate for approximate solutions are given. Both global and local solutions are discussed. The conditions imposed on the nonlinear equation are directly applicable to the linear multivelocity transport problem, and a recursion formula for this system is also given. In the process of approximations, only successive integrations are involved. This fact indicates a promising possibility for the calculation of numerical results by using a computer. A brief discussion of this possibility and the applicability of the results on nonlinear problems are included.
- Research Organization:
- North Carolina State Univ., Raleigh
- Sponsoring Organization:
- USDOE
- NSA Number:
- NSA-29-014118
- OSTI ID:
- 4361838
- Journal Information:
- Journal of Mathematical Analysis and Applications, Journal Name: Journal of Mathematical Analysis and Applications Journal Issue: 3 Vol. 44; ISSN 0022-247X
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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