Open access peer-reviewed Edited Volume

Recent Developments in the Solution of Nonlinear Differential Equations

Edited by Bruno Carpentieri

Free University of Bozen-Bolzano

Nonlinear differential equations are ubiquitous in computational science and engineering modeling, fluid dynamics, finance, and quantum mechanics, among other areas. Nowadays, solving challenging problems in an industrial setting requires a continuous interplay between the theory of such systems and the development and use of sophisticated computational methods that can guide and support the theoretical findings via practical computer simulations. Owing to the impressive development in computer technology and the introduction of fast numerical methods with reduced algorithmic and memory complexity, rigorous solutions in many applications have become possible. This book collects research papers from leading world experts in the field, highlighting ongoing trends, progress, and open problems in this critically important area of mathematics.

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Recent Developments in the Solution of Nonlinear Differential EquationsEdited by Bruno Carpentieri

Published: September 8th 2021

DOI: 10.5772/intechopen.92489

ISBN: 978-1-83968-657-3

Print ISBN: 978-1-83968-656-6

eBook (PDF) ISBN: 978-1-83968-658-0

Copyright year: 2021

Books open for chapter submissions

2035 Total Chapter Downloads

1 Dimensions Citations

chaptersDownloads

Open access peer-reviewed

1. Using the Boundary Element Method to Simulate Visco-Elastic Deformations of Rough Fractures

By Hao Kang

105

Open access peer-reviewed

2. Asymptotic Behavior by Krasnoselskii Fixed Point Theorem for Nonlinear Neutral Differential Equations with Variable Delays

By Benhadri Mimia

75

Open access peer-reviewed

3. Spectral Properties of a Non-Self-Adjoint Differential Operator with Block-Triangular Operator Coefficients

By Aleksandr Kholkin

85

Open access peer-reviewed

4. Deformed Sine-Gordon Models, Solitons and Anomalous Charges

By Harold Blas, Hector F. Callisaya, João P.R. Campos, Bibiano M. Cerna and Carlos Reyes

96

Open access peer-reviewed

5. Continuous One Step Linear Multi-Step Hybrid Block Method for the Solution of First Order Linear and Nonlinear Initial Value Problem of Ordinary Differential Equations

By Kamoh Nathaniel, Kumleng Geoffrey and Sunday Joshua

16

Open access peer-reviewed

6. Existence and Asymptotic Behaviors of Nonoscillatory Solutions of Third Order Time Scale Systems

By Özkan Öztürk

79

Open access peer-reviewed

7.Global Existence of Solutions to a Class of Reaction–Diffusion Systems onRn

By Salah Badraoui

58

Open access peer-reviewed

8. The Fourier Transform Method for Second-Order Integro-Dynamic Equations on Time Scales

By Svetlin G. Georgiev

17

Open access peer-reviewed

9. Effect of Additive Perturbations on the Solution of Reflected Backward Stochastic Differential Equations

By Jasmina Ðorđević

114

Open access peer-reviewed

10. On Some Important Ordinary Differential Equations of Dynamic Economics

By Anastasios Tsoularis

97

Open access peer-reviewed

11. Multiple Solutions for Some Classes Integro-Dynamic Equations on Time Scales

By Svetlin G. Georgiev

17

Open access peer-reviewed

12. Solution of Nonlinear Partial Differential Equations by Mixture Adomian Decomposition Method and Sumudu Transform

By Tarig M. Elzaki and Shams E. Ahmed

133

Open access peer-reviewed

13. Positive Periodic Solutions for First-Order Difference Equations with Impulses

By Mesliza Mohamed, Gafurjan Ibragimov and Seripah Awang Kechil

145

Open access peer-reviewed

14. Peculiarities of the Fundamental Solution of Parabolic Systems with a Negative Genus

By Vladyslav Antonovich Litovchenko

102

Open access peer-reviewed

15. Boundary Element Modeling and Simulation Algorithm for Fractional Bio-Thermomechanical Problems of Anisotropic Soft Tissues

By Mohamed Abdelsabour Fahmy

99

Open access peer-reviewed

16. Solving Second-Order Differential Equations by Decomposition

By Fritz Schwarz

253

Open access peer-reviewed

17. The Uniformly Parabolic Equations of Higher Order with Discontinuous Data in Generalized Morrey Spaces and Elliptic Equations in Unbounded Domains

By Tair Gadjiev and Konul Suleymanova

60

Open access peer-reviewed

18. Gradient Optimal Control of the Bilinear Reaction–Diffusion Equation

By El Hassan Zerrik and Abderrahman Ait Aadi

101

Open access peer-reviewed

19. Boundary Element Method for the Mixed BBM-KdV Equation Compared to Non Standard Boundary Conditions

By Mostafa Abounouh, Hassan Al-Moatassime, Sabah Kaouri and Youssef Ouakrim

67

Open access peer-reviewed

20. On the Generalized Simplest Equations: Toward the Solution of Nonlinear Differential Equations with Variable Coefficients

By Gunawan Nugroho, Purwadi Agus Darwito, Ruri Agung Wahyuono and Murry Raditya

184

Open access peer-reviewed

21. Thermodynamic Stability Conditions as an Eigenvalues Fundamental Problem

By Francisco Nogueira Lima

135

Edited Volume and chapters are indexed in

  • Worldcat
  • OpenAIRE
  • Google Scholar
  • AZ ebsco
  • Base
  • CNKI

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