The optimal homotopy asymptotic method : engineering applications /: engineering applications. ([2015])

• Record Type: Book
• Further Information: Note: Vasile Marinca, Nicolae Herisanu.
• Authors: Marinca, Vasile; Herisanu, Nicolae
• Contents: Preface; Contents; Chapter 1: Introduction; References; Chapter 2: Optimal Homotopy Asymptotic Method; 2.1 A Short History of the Homotopy; 2.2 Basic Idea of OHAM; 2.3 Convergence of the Homotopy-Series 2.28; 2.4 Convergence of the Approximate Solution of Order m Given by Eq.2.29; References; Chapter 3: The First Alternative of the Optimal Homotopy Asymptotic Method; 3.1 Thin Film Flow of a Fourth-Grade Fluid Down a Vertical Cylinder; 3.1.1 Numerical Examples; 3.2 The Jeffery-Hamel Flow Problem; 3.2.1 Numerical Examples; 3.3 Oscillations of a Mass Attached to a Stretched Wire. 3.3.1 Numerical Examples3.4 The Motion of a Particle on a Rotating Parabola; 3.4.1 Numerical Examples; 3.5 Nonlinear Oscillator with Discontinuities and Fractional-Power Restoring Force; References; Chapter 4: The Second Alternative of the Optimal Homotopy Asymptotic Method; 4.1 The Flow of a Walters-Type B ́Viscoelastic Fluid in a Vertical Channel with Porous Wall; 4.1.1 Problem Statement and Governing Equation; 4.1.2 Solution of Walters-Type B ́Viscoelastic Fluid in a Vertical Channel with OHAM; 4.1.3 Governing Equation of the Temperature and Its Solution. 4.1.4 Numerical Results and Discussions4.2 Thin Film Flow of an Oldroyd 6-Constant Fluid over Moving Belt; 4.2.1 Governing Equations; 4.2.2 Application of OHAM to Thin Film Flow of an Oldroyd 6-Constant Fluid; 4.2.3 Numerical Results and Discussions; 4.3 Falkner-Skan Equation; 4.3.1 The Governing Equation; 4.3.2 Application of OHAM to Falkner-Skan Equation; 4.3.3 Numerical Examples; 4.4 Viscous Flow Due to a Stretching Surface with Partial Slip; 4.4.1 Equation of Motion; 4.4.2 Application of OHAM to Viscous Fluid Given by Eq.4.220; 4.4.3 Numerical Examples. 4.5 The Flow and Heat Transfer in a Viscous Fluid Over an Unsteady Stretching Surface4.5.1 Equations of Motion; 4.5.2 Application of OHAM to Flow and Heat Transfer; 4.5.3 Numerical Examples; 4.6 Blasius ́Problem; 4.6.1 Solution of Blasius ́Problem by Optimal Homotopy Asymptotic Method; 4.7 Thermal Radiation on MHD Flow over a Stretching Porous Sheet; 4.7.1 Solution of the Problem with Optimal Homotopy Asymptotic Method; 4.7.2 Numerical Examples; 4.8 Nonlinear Equations Arising in Heat Transfer; 4.8.1 Cooling of a Lumped System with Variable Specific Heat; 4.8.1.1 Numerical Examples. 4.8.2 The Temperature Distribution Equation in a Thick Rectangular Fin Radiation to Free Space4.8.2.1 Numerical Examples; 4.8.3 A Heat Transfer Problem; 4.8.3.1 Numerical Examples; 4.9 The Nonlinear Age-Structured Population Models; 4.9.1 Analytical Solution for Nonlinear Age-Structured Population Models Using OHAM; 4.10 Volterraś Population Model; 4.10.1 Numerical Examples; 4.11 Lotka-Volterra Model with Three Species; 4.11.1 Numerical Examples; 4.12 Bratuś Problem; 4.12.1 The Exact Solution of Bratuś Problem 4.548; 4.12.2 Solutions of the Bratuś Problem by Means of OHAM.
• Publisher Details: Cham : Springer
• Publication Date: 2015
• Copyright Date: 2015
• Extent: 1 online resource (x, 465 pages), illustrations
• Subjects: 514/.24; Engineering; Homotopy theory; Differential equations, Nonlinear -- Asymptotic theory; Mechanics, applied; Computer science -- Mathematics; MATHEMATICS -- Topology; Differential equations, Nonlinear -- Asymptotic theory; Homotopy theory; Mathematics; Physical Sciences & Mathematics; Geometry; Mathematics -- Counting & Numeration; Science -- System Theory; Numerical analysis; Social research & statistics; Technology & Engineering -- Mechanical; Mechanics of solids; Engineering; Theoretical and Applied Mechanics; Computational Mathematics and Numerical Analysis; Socio- and Econophysics, Population and Evolutionary Models; Electronic books
• Languages: English
• ISBNs: 9783319153742; 3319153749; 3319153730; 9783319153735
• Related ISBNs: 9783319153735
• Notes: Note: Includes bibliographical references.; Note: Online resource; title from PDF title page (SpringerLink, viewed April 8, 2015).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.