Optimal auxiliary functions method for nonlinear dynamical systems / / Vasile Marinca, Nicolae Herisanu, Bogdan Marinca |
Autore | Marinca Vasile |
Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
Descrizione fisica | 1 online resource (476 pages) |
Disciplina | 003.75 |
Soggetto topico | Nonlinear systems - Mathematical models |
ISBN | 3-030-75653-X |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910492146803321 |
Marinca Vasile | ||
Cham, Switzerland : , : Springer, , [2021] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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Optimal auxiliary functions method for nonlinear dynamical systems / / Vasile Marinca, Nicolae Herisanu, Bogdan Marinca |
Autore | Marinca Vasile |
Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
Descrizione fisica | 1 online resource (476 pages) |
Disciplina | 003.75 |
Soggetto topico | Nonlinear systems - Mathematical models |
ISBN | 3-030-75653-X |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISA-996466743703316 |
Marinca Vasile | ||
Cham, Switzerland : , : Springer, , [2021] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. di Salerno | ||
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The Optimal Homotopy Asymptotic Method : Engineering Applications / / by Vasile Marinca, Nicolae Herisanu |
Autore | Marinca Vasile |
Edizione | [1st ed. 2015.] |
Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015 |
Descrizione fisica | 1 online resource (476 p.) |
Disciplina |
518
620 620.1 621 |
Soggetto topico |
Mechanics
Mechanics, Applied Computer mathematics Sociophysics Econophysics Theoretical and Applied Mechanics Computational Mathematics and Numerical Analysis Data-driven Science, Modeling and Theory Building |
ISBN | 3-319-15374-9 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
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 4.12.3 Numerical Examples |
Record Nr. | UNINA-9910299819503321 |
Marinca Vasile | ||
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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