Results 1 to 10 of about 22,674 (266)

Sextic spline solutions of fifth order boundary value problems

open access: yesApplied Mathematics Letters, 2007
The sextic spline is used for numerical solutions of the fifth order linear special case boundary value problems. End conditions for the definition of the spline are derived, consistent with the fifth order boundary value problem. The algorithm developed
Siddiqi, Shahid S., Akram, Ghazala
core   +7 more sources

Initial-boundary value problem of fifth-order Korteweg-de Vries equation posed on half line with nonlinear boundary values

open access: yesOpen Mathematics, 2022
In this paper, we study the initial boundary problem of fifth-order Korteweg-de Vries equation with nonlinear boundary values. First, we establish a so-called sharp boundary trace regularity associated with the linearized fifth-order Korteweg-de Vries ...
Zhao Xiangqing   +2 more
doaj   +2 more sources

Global well-posedness of initial-boundary value problem of fifth-order KdV equation posed on finite interval

open access: yesOpen Mathematics, 2023
We have established the existence and uniqueness of the local solution for (0.1)∂tu+∂x5u−u∂xu=0 ...
Zhao Xiangqing   +2 more
doaj   +2 more sources

Development and implementation of a tenth-order hybrid block method for solving fifth-order boundary value problems

open access: yesMathematical Modelling and Analysis, 2021
A hybrid convergent method of tenth-order is presented in this work for directly solving fifth-order boundary value problems in ordinary differential equations.
Higinio Ramos, Adelegan L. Momoh
doaj   +5 more sources

On a Problem of Optimal Control for a Nonlinear Pseudohyperbolic Equation

open access: yesМоделирование и анализ информационных систем, 2013
In this article, it is considered some questions of approximation solving of an optimal control problem for nonlinear partial pseudohyperbolic differential equations of the fifth order with initial-boundary value conditions and general view of the ...
T. K. Yuldashev
doaj   +3 more sources

Bio-Convection Effects on Prandtl Hybrid Nanofluid Flow with Chemical Reaction and Motile Microorganism over a Stretching Sheet

open access: yesNanomaterials, 2022
This study aims to determine the heat transfer properties of a magnetohydrodynamic Prandtl hybrid nanofluid over a stretched surface in the presence of bioconvection and chemical reaction effects.
Syed Asif Ali Shah   +5 more
doaj   +1 more source

Computational Analysis for Bioconvection of Microorganisms in Prandtl Nanofluid Darcy–Forchheimer Flow across an Inclined Sheet

open access: yesNanomaterials, 2022
The two-dimensional boundary layer flow of a Prandtl nanofluid was explored in the presence of an aligned magnetic field over an inclined stretching/shrinking sheet in a non-Darcy permeable medium. To transform the PDEs of the leading equations into ODEs,
Jianfeng Wang   +7 more
doaj   +1 more source

Stability Analysis of Dual Solutions of Convective Flow of Casson Nanofluid past a Shrinking/Stretching Slippery Sheet with Thermophoresis and Brownian Motion in Porous Media

open access: yesJournal of Mathematics, 2023
This article considered the steady two-dimensional boundary layer flow of incompressible viscous Casson nanofluids over a permeable, convectively heated, shrinking/stretching slippery sheet surface.
Kifle Adula Duguma   +2 more
doaj   +1 more source

Positive solutions of nonlinear fourth-order boundary-value problems with local and non-local boundary conditions [PDF]

open access: yes, 2008
We establish new existence results for multiple positive solutions of fourth-order nonlinear equations which model deflections of an elastic beam. We consider the widely studied boundary conditions corresponding to clamped and hinged ends and many non ...
J. R. L. Webb   +5 more
core   +1 more source

Magnetohydrodynamic hybrid nanofluid flow through moving thin needle considering variable viscosity and thermal conductivity

open access: yesAdvances in Mechanical Engineering, 2023
In modern science and technology, industrial applications that deal with the problem of continuously moving thin needle, surrounded with fluid in sectors like hot rolling, crystal growing, heat extrusion, glass fiber drawing, etc., are rapidly increasing.
Mohammad Ferdows   +3 more
doaj   +1 more source

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