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Keywords: Transforms
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Journal Articles
Approximate analytical solution to time fractional nonlinear evolution equations
Available to Purchase
International Journal of Numerical Methods for Heat & Fluid Flow (2012) 22 (7): 829–838.
Published: 14 September 2012
...M.A. Abdou; Ahmet Yildirim Purpose The purpose of this paper is to develop a scheme to study numerical solution of time fractional nonlinear evolution equations under initial conditions by reduced differential transform method. Design/methodology/approach The paper considers two models...
Journal Articles
Integral transforms solution for flow development in wavy wall ducts
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International Journal of Numerical Methods for Heat & Fluid Flow (2011) 21 (2): 219–243.
Published: 29 March 2011
... flow. Design/methodology/approach The study is undertaken by application of the generalized integral transform technique in the solution of the steady Navier‐Stokes equations for incompressible flow. The streamfunction‐only formulation is adopted, and a general filtering solution that adapts...
Journal Articles
Hybrid solution for transient internal convection with axial diffusion: Integral transforms and local instantaneous filtering
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International Journal of Numerical Methods for Heat & Fluid Flow (2007) 17 (4): 405–417.
Published: 22 May 2007
...R.R. Gondim; E.N. Macedo; R.M. Cotta Purpose This paper seeks to analyze transient convection‐diffusion by employing the generalized integral transform technique (GITT) combined with an arbitrary transient filtering solution, aimed at enhancing the convergence behavior of the associated...
Journal Articles
Natural convection in enclosures with variable fluid properties
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International Journal of Numerical Methods for Heat & Fluid Flow (2003) 13 (8): 1079–1096.
Published: 01 December 2003
...Marcos de Souza; Ricardo Fortes de Miranda; Humberto Araujo Machado The generalized integral transform technique (GITT) is an hybrid numerical‐analytical method that has been successfully applied in convection‐diffusion problems, where the original potentials are replaced by eigenexpansion series...
