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Solution of nonlinear boundary value problems—XI: One-parameter imbedding methods

✍ Scribed by Milan Kubíček; Martin Holodniok; Vladimír Hlaváček

Publisher
Elsevier Science
Year
1979
Tongue
English
Weight
587 KB
Volume
34
Category
Article
ISSN
0009-2509

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✦ Synopsis

One-parameter lmbeddmg techmques are used to solve a standard no&near boundary value problem appeanng m reactlon engmeenng The one-parameter lmbeddmg technique IS formulated III a general form, the resultmg procedures are class&xl as the one-loop and m&t-loop methods Twelve multl-loop and two one-loop procedures are suggested to solve the problem m questlon The behavlour of all methods proposed as well as the numerical results are dwussed also for the case of multiple solutions

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Solution of nonlinear boundary value pro
Solution of nonlinear boundary value problems—Va a novel method: general parameter mapping (GPM)
✍ M. Kubíček; V. Hlaváček 📂 Article 📅 1972 🏛 Elsevier Science 🌐 English ⚖ 553 KB

A novel method is described for the numerical solution of a family of nonlinear boundary value problems. This algorithm allows one to find the dependence of the solution y(x, (r) on the parameter 0~. The technique proposed will be illustrated on the example of heat and mass transfer in porous cataly