國立虎尾科技大學 |

Numerical Solutions of Realistic Nonlinear Phenomena

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Numerical Solutions of Realistic Nonlinear Phenomena/ edited by J. A. Tenreiro Machado, Necati Özdemir, Dumitru Baleanu.
other author:	Machado, J. A. Tenreiro.
Description:	VIII, 233 p. 36 illus., 26 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Mathematical physics. -
Online resource:	https://doi.org/10.1007/978-3-030-37141-8
ISBN:	9783030371418

Numerical Solutions of Realistic Nonlinear Phenomena
Numerical Solutions of Realistic Nonlinear Phenomena[electronic resource] /edited by J. A. Tenreiro Machado, Necati Özdemir, Dumitru Baleanu. - 1st ed. 2020. - VIII, 233 p. 36 illus., 26 illus. in color.online resource. - Nonlinear Systems and Complexity,312195-9994 ;. - Nonlinear Systems and Complexity,12.

Chapter 1. Monotone iterative technique for non-autonomous semilinear differential equations with non-instantaneous impulses -- Chapter 2. An extrapolated Crank Nicholson VMS-POD method for Darcy Brinkman Equations -- Chapter 3. Comparison of Exact and Numerical Solutions for the Sharma-Tasso-Olver Equation -- Chapter 4. A Linear B–spline Approximation for a Class of Nonlinear Time and Space Fractional Partial Differential Equations -- Chapter 5. Escaping from Current Minimizer by Using an Auxiliary Function Smoothed by Bezier Curves -- Chapter 6. A modified Laguerre matrix approach for Burger-Fisher type nonlinear equations -- Chapter 7. Increasing the Effects of Auxiliary Function by Multiple Extrema in Global Optimization -- Chapter 8. A New Approach for the Solution of the Generalized Abel Integral Equation -- Chapter 9. NPSOG: A new hybrid method for unconstrained differentiable optimization -- Chapter 10. Detection of HIV-1 Protease Cleavage Sites via Hidden Markov Model and Physiochemical Properties of Aminoacids -- Chapter 11. A Numerical Approach for Variable Order Fractional Equations -- Chapter 12. Evolution of Plane Curves via Lie Symmetry Analysis in the Galilean Plane.

This collection covers new aspects of numerical methods in applied mathematics, engineering, and health sciences. It provides recent theoretical developments and new techniques based on optimization theory, partial differential equations (PDEs), mathematical modeling and fractional calculus that can be used to model and understand complex behavior in natural phenomena. Specific topics covered in detail include new numerical methods for nonlinear partial differential equations, global optimization, unconstrained optimization, detection of HIV- Protease, modelling with new fractional operators, analysis of biological models, and stochastic modelling. Presents new concepts to understand dynamical systems and develop modelling techniques Describes influence of fractional operators on modelling complex features of real-world problems Analyzes the epidemic of spreading models Introduces new hybrid methods for global and constrained optimization.

ISBN: 9783030371418

Standard No.: 10.1007/978-3-030-37141-8doiSubjects--Topical Terms:

527831
Mathematical physics.

LC Class. No.: QC19.2-20.85

Dewey Class. No.: 519

Numerical Solutions of Realistic Nonlinear Phenomena
LDR:03636nam a22004095i 4500 001 1025004
003 DE-He213
005 20200701084239.0
007 cr nn 008mamaa
008 210318s2020 gw | s |||| 0|eng d
020 $a 9783030371418 $9 978-3-030-37141-8
024 7 $a 10.1007/978-3-030-37141-8 $2 doi
035 $a 978-3-030-37141-8
050 4 $a QC19.2-20.85
072 7 $a PBWH $2 bicssc
072 7 $a MAT003000 $2 bisacsh
072 7 $a PBWH $2 thema
082 0 4 $a 519 $2 23
245 1 0 $a Numerical Solutions of Realistic Nonlinear Phenomena $h [electronic resource] / $c edited by J. A. Tenreiro Machado, Necati Özdemir, Dumitru Baleanu.
250 $a 1st ed. 2020.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2020.
300 $a VIII, 233 p. 36 illus., 26 illus. in color. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a Nonlinear Systems and Complexity, $x 2195-9994 ; $v 31
505 0 $a Chapter 1. Monotone iterative technique for non-autonomous semilinear differential equations with non-instantaneous impulses -- Chapter 2. An extrapolated Crank Nicholson VMS-POD method for Darcy Brinkman Equations -- Chapter 3. Comparison of Exact and Numerical Solutions for the Sharma-Tasso-Olver Equation -- Chapter 4. A Linear B–spline Approximation for a Class of Nonlinear Time and Space Fractional Partial Differential Equations -- Chapter 5. Escaping from Current Minimizer by Using an Auxiliary Function Smoothed by Bezier Curves -- Chapter 6. A modified Laguerre matrix approach for Burger-Fisher type nonlinear equations -- Chapter 7. Increasing the Effects of Auxiliary Function by Multiple Extrema in Global Optimization -- Chapter 8. A New Approach for the Solution of the Generalized Abel Integral Equation -- Chapter 9. NPSOG: A new hybrid method for unconstrained differentiable optimization -- Chapter 10. Detection of HIV-1 Protease Cleavage Sites via Hidden Markov Model and Physiochemical Properties of Aminoacids -- Chapter 11. A Numerical Approach for Variable Order Fractional Equations -- Chapter 12. Evolution of Plane Curves via Lie Symmetry Analysis in the Galilean Plane.
520 $a This collection covers new aspects of numerical methods in applied mathematics, engineering, and health sciences. It provides recent theoretical developments and new techniques based on optimization theory, partial differential equations (PDEs), mathematical modeling and fractional calculus that can be used to model and understand complex behavior in natural phenomena. Specific topics covered in detail include new numerical methods for nonlinear partial differential equations, global optimization, unconstrained optimization, detection of HIV- Protease, modelling with new fractional operators, analysis of biological models, and stochastic modelling. Presents new concepts to understand dynamical systems and develop modelling techniques Describes influence of fractional operators on modelling complex features of real-world problems Analyzes the epidemic of spreading models Introduces new hybrid methods for global and constrained optimization.
650 0 $a Mathematical physics. $3 527831
650 0 $a Computational complexity. $3 527777
650 0 $a Computer mathematics. $3 1199796
650 0 $a Statistical physics. $3 528048
650 0 $a Partial differential equations. $3 1102982
650 1 4 $a Mathematical Applications in the Physical Sciences. $3 786649
650 2 4 $a Complexity. $3 669595
650 2 4 $a Computational Science and Engineering. $3 670319
650 2 4 $a Applications of Nonlinear Dynamics and Chaos Theory. $3 1113607
650 2 4 $a Partial Differential Equations. $3 671119
700 1 $a Machado, J. A. Tenreiro. $4 edt $4 http://id.loc.gov/vocabulary/relators/edt $3 881473
700 1 $a Özdemir, Necati. $e editor. $4 edt $4 http://id.loc.gov/vocabulary/relators/edt $3 1320422
700 1 $a Baleanu, Dumitru. $4 edt $4 http://id.loc.gov/vocabulary/relators/edt $3 796346
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783030371401
776 0 8 $i Printed edition: $z 9783030371425
776 0 8 $i Printed edition: $z 9783030371432
830 0 $a Nonlinear Systems and Complexity, $x 2195-9994 ; $v 12 $3 1254402
856 4 0 $u https://doi.org/10.1007/978-3-030-37141-8
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)