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Discrete & Continuous Dynamical Systems - S

June 2019 , Volume 12 , Issue 3

Issue on recent development in numerical and analytical methods

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Preface: New trends on numerical analysis and analytical methods with their applications to real world problems
Abdon Atangana, Zakia Hammouch, Kolade M. Owolabi and Gisele Mephou
2019, 12(3): ⅰ-ⅰ doi: 10.3934/dcdss.201903i +[Abstract](832) +[HTML](169) +[PDF](74.28KB)
Generalised class of Time Fractional Black Scholes equation and numerical analysis
Rodrigue Gnitchogna Batogna and Abdon Atangana
2019, 12(3): 435-445 doi: 10.3934/dcdss.2019028 +[Abstract](1275) +[HTML](199) +[PDF](377.35KB)
New exact solutions for some fractional order differential equations via improved sub-equation method
Berat Karaagac
2019, 12(3): 447-454 doi: 10.3934/dcdss.2019029 +[Abstract](1087) +[HTML](173) +[PDF](846.56KB)
Modeling the transmission dynamics of avian influenza with saturation and psychological effect
Muhammad Altaf Khan, Muhammad Farhan, Saeed Islam and Ebenezer Bonyah
2019, 12(3): 455-474 doi: 10.3934/dcdss.2019030 +[Abstract](1700) +[HTML](368) +[PDF](1679.39KB)
Numerical analysis of coupled fractional differential equations with Atangana-Baleanu fractional derivative
Ilknur Koca
2019, 12(3): 475-486 doi: 10.3934/dcdss.2019031 +[Abstract](905) +[HTML](147) +[PDF](322.4KB)
The first integral method for two fractional non-linear biological models
Olusola Kolebaje, Ebenezer Bonyah and Lateef Mustapha
2019, 12(3): 487-502 doi: 10.3934/dcdss.2019032 +[Abstract](980) +[HTML](219) +[PDF](2681.95KB)
On the existence and uniqueness of the solution of an optimal control problem for Schrödinger equation
Gökçe Dİlek Küçük, Gabil Yagub and Ercan Çelİk
2019, 12(3): 503-512 doi: 10.3934/dcdss.2019033 +[Abstract](800) +[HTML](122) +[PDF](364.62KB)
Weak Galerkin mixed finite element methods for parabolic equations with memory
Xiaomeng Li, Qiang Xu and Ailing Zhu
2019, 12(3): 513-531 doi: 10.3934/dcdss.2019034 +[Abstract](799) +[HTML](129) +[PDF](442.02KB)
A unified finite difference Chebyshev wavelet method for numerically solving time fractional Burgers' equation
Ömer Oruç, Alaattin Esen and Fatih Bulut
2019, 12(3): 533-542 doi: 10.3934/dcdss.2019035 +[Abstract](1018) +[HTML](146) +[PDF](414.65KB)
Numerical analysis and pattern formation process for space-fractional superdiffusive systems
Kolade M. Owolabi
2019, 12(3): 543-566 doi: 10.3934/dcdss.2019036 +[Abstract](974) +[HTML](154) +[PDF](1904.83KB)
High-order solvers for space-fractional differential equations with Riesz derivative
Kolade M. Owolabi and Abdon Atangana
2019, 12(3): 567-590 doi: 10.3934/dcdss.2019037 +[Abstract](1064) +[HTML](148) +[PDF](2009.11KB)
Efficient numerical method for a model arising in biological stoichiometry of tumour dynamics
Kolade M. Owolabi, Kailash C. Patidar and Albert Shikongo
2019, 12(3): 591-613 doi: 10.3934/dcdss.2019038 +[Abstract](1021) +[HTML](236) +[PDF](536.33KB)
The discrete homotopy perturbation Sumudu transform method for solving partial difference equations
Figen Özpinar and Fethi Bin Muhammad Belgacem
2019, 12(3): 615-624 doi: 10.3934/dcdss.2019039 +[Abstract](715) +[HTML](111) +[PDF](6929.15KB)
Barycentric spectral domain decomposition methods for valuing a class of infinite activity Lévy models
Edson Pindza, Francis Youbi, Eben Maré and Matt Davison
2019, 12(3): 625-643 doi: 10.3934/dcdss.2019040 +[Abstract](985) +[HTML](108) +[PDF](636.33KB)
Couette flows of a viscous fluid with slip effects and non-integer order derivative without singular kernel
Muhammad Bilal Riaz, Naseer Ahmad Asif, Abdon Atangana and Muhammad Imran Asjad
2019, 12(3): 645-664 doi: 10.3934/dcdss.2019041 +[Abstract](849) +[HTML](123) +[PDF](821.22KB)
Comparative study of a cubic autocatalytic reaction via different analysis methods
Khaled Mohammed Saad and Eman Hussain Faissal AL-Sharif
2019, 12(3): 665-684 doi: 10.3934/dcdss.2019042 +[Abstract](1049) +[HTML](125) +[PDF](2057.25KB)
Spectral Jacobi-Galerkin methods and iterated methods for Fredholm integral equations of the second kind with weakly singular kernel
Yin Yang and Yunqing Huang
2019, 12(3): 685-702 doi: 10.3934/dcdss.2019043 +[Abstract](736) +[HTML](114) +[PDF](489.43KB)

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