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Bellman-Adomian solutions of nonlinear inverse problems in continuum physics. (English) Zbl 0693.35160
The author develops a method to solve some nonlinear inverse problems by combining Bellman’s differential quadrature method and Adomian’s decomposition technique. He does not mention that the problems he wants to solve are severely ill-posed, he supplies no proofs and gives no numerical evidence that his method really works.
Reviewer: A.Neubauer

35R30 Inverse problems for PDEs
65Z05 Applications to the sciences
35Q99 Partial differential equations of mathematical physics and other areas of application
Full Text: DOI
[1] Bellman, R; Adomian, G, Partial differential equations, (1985), Reidel Dordrecht
[2] Lavrent’ev, M; Reznitskaya, K; Yakhno, V, One dimensional inverse problems of mathematical physics, () · Zbl 0593.35001
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[8] Bellomo, N; Flandoli, F, Stochastic partial differential equations in continuum physics, Math. comp. in simul., 31, 3-17, (1989) · Zbl 0706.60063
[9] Cooper, L; Steinberg, D, Introduction to methods of optimization, (1970), Saunders Philadelphia · Zbl 0208.21401
[10] Adomian, G, Application of nonlinear stochastic systems theory to physics, (1988), Reidel Dordrecht · Zbl 0666.60061
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