43 results for “partial differential equations”

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Research ArticleOpen accessIn the abstractThree Dimensional Flow Analyses in a Diagonal Type MHD GeneratorTriwahju Hardianto, Nobuomi Sakamoto, Nob. HaradaThis paper studied development of the three dimensional flow fields in a diagonal channel MHD generator. A diagonal insulating sidewalls type channel is proposed in this work. The partial-differential equations for the three momentum, the enthalpy and the electrical fields are solved by a finite-difference calculation procedure. The turbulence phenomenon is represented by two-equation turbulence model. Calculations have been made … …American Journal of Applied Sciences, Vol. 3, Issue 8 · 31 Aug 2006 · 6,917 accessesView PDF Cite

Research ArticleOpen accessAll words, across the recordThe Solution to Some Hypersingular Integral EquationsAlexander G. RammGel’fand, I. M., & Shilov, G. E. (1964). Generalized Functions. Volume I: Properties and Operations (1st ed., Vol. 1). Academic Press. Hörmander, L. (1998). The Analysis of Linear Partial Differential Operators I (1st ed.). Springer Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-96750-4 Ramm, A. G. (2022). The Navier-Stokes Problem (2nd ed.). Springer Nature. Ramm, A. G. (2023). Analysis of the Navier-Stokes problem (2nd ed.). … …Journal of Mathematics and Statistics, Vol. 20, Issue 1 · 25 May 2024 · 5,683 accessesView PDF Cite

Research ArticleOpen accessAll words, across the recordApproximate Series Solution of Nonlinear, Fractional Klein-Gordon Equations Using Fractional Reduced Differential Transform MethodEman Abuteen, Asad Freihat, Mohammed Al-Smadi et al.This analysis proposes an analytical-numerical approach for providing solutions of a class of nonlinear fractional Klein-Gordon equation subjected to appropriate initial conditions in Caputo sense by using the Fractional Reduced Differential Transform Method (FRDTM). This technique provides the solutions very accurately and efficiently in convergent series formula with easily computable coefficients. The behavior of the approximate series solution for different … …Journal of Mathematics and Statistics, Vol. 12, Issue 1 · 26 Mar 2016 · 7,901 accessesView PDF Cite