Methods of Mathematical Modeling: Advances and Applications delves into recent progress in this field, highlighting innovative methods and their uses in different domains. This book covers convergence analysis involving nonlinear integral equations and boundary value problems, Navier-Stokes equations in Sobolev-Gevrey spaces, magneto-hydrodynamics of ternary nanofluids with heat transfer effects, vortex nerve complexes in video frame shape approximation, hybrid schemes for computing hyperbolic conservation laws, and solutions to new fractional differential equations. Additionally, the book examines dynamics of Leslie-Gower type predator-prey models and models for the dynamics of generic crop and water availability.
Readers will find diverse approaches, techniques, and applications needed for modeling various physical and natural systems. Each chapter is self-contained, encouraging independent study and application of the modeling examples to individual research projects. This book serves as a valuable resource for researchers, students, educators, scientists, and practitioners involved in different aspects of modeling.
1. Title of Book - p. i 2. Cover image - p. i 3. Title page - p. ii 4. Table of Contents - p. iii 5. Copyright - p. iv 6. Contributors - p. ix 7. Preface - p. xiii 8. 1: Quasivariational-hemivariational inequalities for a thermally coupled Navier-Stokes model of Bingham type fluid - p. 1 9. 2: Construction of derivative-free iterative schemes with second and third convergence order - p. 39 10. 3: Global solutions for the Navier-Stokes equations with fractional dissipation in nonhomogeneous Sobolev-Gevrey spaces - p. 81 11. 4: Optimization procedure for multilayer heat transfer in nanoliquid with Joule heating using response surface methodology - p. 103 12. 5: Hybrid high-resolution technique for numerically computing hyperbolic conservation laws - p. 135 13. 6: Existence of positive solutions to a R-L type fractional differential equation using fixed point theorem - p. 159 14. 7: An efficient integral equation approach to study wave interaction by a bottom-mounted rectangular barrier in presence of a pair of partially immersed thin vertical barriers - p. 183 15. 8: Analytic and computational treatment of random differential equations - p. 201 16. 9: A new heavy-tailed Gumbel-G family of distributions with risk measures and applications - p. 229 17. 10: Complete synchronization of the Newton–Leipnik reaction diffusion chaotic system - p. 257 18. Index - p. 275
Methods of Mathematical Modeling: Advances and Applications delves into recent progress in this field, highlighting innovative methods and their uses in different domains. This book covers convergence analysis involving nonlinear integral equations and boundary value problems, Navier-Stokes equations in Sobolev-Gevrey spaces, magneto-hydrodynamics of ternary nanofluids with heat transfer effects, vortex nerve complexes in video frame shape approximation, hybrid schemes for computing hyperbolic conservation laws, and solutions to new fractional differential equations. Additionally, the book examines dynamics of Leslie-Gower type predator-prey models and models for the dynamics of generic crop and water availability.
Readers will find diverse approaches, techniques, and applications needed for modeling various physical and natural systems. Each chapter is self-contained, encouraging independent study and application of the modeling examples to individual research projects. This book serves as a valuable resource for researchers, students, educators, scientists, and practitioners involved in different aspects of modeling.
1. Title of Book - p. i 2. Cover image - p. i 3. Title page - p. ii 4. Table of Contents - p. iii 5. Copyright - p. iv 6. Contributors - p. ix 7. Preface - p. xiii 8. 1: Quasivariational-hemivariational inequalities for a thermally coupled Navier-Stokes model of Bingham type fluid - p. 1 9. 2: Construction of derivative-free iterative schemes with second and third convergence order - p. 39 10. 3: Global solutions for the Navier-Stokes equations with fractional dissipation in nonhomogeneous Sobolev-Gevrey spaces - p. 81 11. 4: Optimization procedure for multilayer heat transfer in nanoliquid with Joule heating using response surface methodology - p. 103 12. 5: Hybrid high-resolution technique for numerically computing hyperbolic conservation laws - p. 135 13. 6: Existence of positive solutions to a R-L type fractional differential equation using fixed point theorem - p. 159 14. 7: An efficient integral equation approach to study wave interaction by a bottom-mounted rectangular barrier in presence of a pair of partially immersed thin vertical barriers - p. 183 15. 8: Analytic and computational treatment of random differential equations - p. 201 16. 9: A new heavy-tailed Gumbel-G family of distributions with risk measures and applications - p. 229 17. 10: Complete synchronization of the Newton–Leipnik reaction diffusion chaotic system - p. 257 18. Index - p. 275
