On Non‐Linear Ordinary Differential Equations of Boundary Layer Type | Zendy

PEARSON CARL E. | Zendy

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On Non‐Linear Ordinary Differential Equations of Boundary Layer Type

Author(s) -

PEARSON CARL E.

Publication year - 1968

Publication title -

journal of mathematics and physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.164

H-Index - 46

eISSN - 1467-9590

pISSN - 0097-1421

DOI - 10.1002/sapm1968471351

Subject(s) - boundary layer , mathematics , ordinary differential equation , boundary value problem , mathematical analysis , discretization , blasius boundary layer , algebraic equation , differential equation , boundary (topology) , nonlinear system , boundary layer thickness , physics , mechanics , quantum mechanics

Summary A numerical method previously applied to linear two‐point boundaryvalue problems of boundary layer type is extended to some non‐linear problems.Discretization of the differential equation leads to a set of non‐linear algebraicequations, which is solved by a modified Newton's method; both the meshspacing and the boundary layer parameter are iteratively adjusted during thesolution process. Several examples are discussed; one of these concerns theproblem of shock wave formation in a supersonic nozzle.

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