Examples of the use of the initial value method to solve nonlinear boundary value problems

Lin, Sheng H.; Fan, L. T.

doi:10.1002/aic.690180333

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1987

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Cited by 8 publications

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“…with boundary conditions (3.6). This boundary value problem is now to be transformed to initial value problem (Na, 1982;Lin and Fan, 1972). Defining the transformation…”

Section: F=l At~=o;mentioning

confidence: 99%

Powell-Eyring model flow near an accelerated plate

1987

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“…with boundary conditions (3.6). This boundary value problem is now to be transformed to initial value problem (Na, 1982;Lin and Fan, 1972). Defining the transformation…”

Section: F=l At~=o;mentioning

confidence: 99%

Powell-Eyring model flow near an accelerated plate

1987

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Berechnung axial‐durchmischter Rohrreaktoren als Rührkesselkaskaden mit Rücklauf

Deckwer

Popović

1973

Chemie Ingenieur Technik

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Non-iterative solution of a boundary value problem in reactor design by parameter differentiation

Habib

1974

Chemical Engineering Science

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In a recent paper, Shacham and Kehat[l] discuss the Department of Chemical Engineering, problem of solving a single non-linear algebraic equation.Unioersity of Edinburgh, They present the following convergence criteria (their King's Buildings, notation and equation numbers)-Mavfield Road.(Thus convergence is deemed to have occurred when two successive iterates are close together and bound the root.The authors state that criterion ( 15) is not used in the chemical engineering literature. It would appear that they may have overlooked two algorithms which make use of ( 15), namely the Rule of False Position[2] and Cox's method[3], both of which exhibit superlinear convergence [4] and have been successfully applied to chemical engineering problems [5,6].If the comparison of algorithms had included these two techniques the advantages of the authors' novel algorithms might have been demonstrated more clearly.

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Examples of the use of the initial value method to solve nonlinear boundary value problems

Cited by 8 publications

References 6 publications

Powell-Eyring model flow near an accelerated plate

Powell-Eyring model flow near an accelerated plate

Berechnung axial‐durchmischter Rohrreaktoren als Rührkesselkaskaden mit Rücklauf

Non-iterative solution of a boundary value problem in reactor design by parameter differentiation

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