Advances in Difference Equations

Announcement: "Advances in Difference Equations" to become "Advances in Continuous and Discrete Models"

Springer Nature is happy to announce a new chapter for Advances in Difference Equations. Starting July 1st, the journal will be transitioning to a new title that opens the scope of the journal to broader developments in theory and applications of models. Under the new title, Advances in Continuous and Discrete Models: Theory and Modern Applications, the journal will cover developments in machine learning, data driven modeling, differential equations, numerical analysis, scientific computing, control, optimization, and computing. The journal will also be led by three new Editors-in-Chief: Prof. Harbir Antil (George Mason University, Virginia), Prof. Xue-Cheng Tai (Hong Kong Baptist University, Hong Kong), and Prof. Enrique Zuazua (Friedrich-Alexander-Universität Erlangen-Nürnberg, Germany). Due to this transition, all new submissions received after 1st July will be considered for Advances in Continuous and Discrete Models, which will publish articles starting from 1 January 2022. Meanwhile, Advances in Difference Equations will be completing its last volume under the original aims & scope this year (2021).

Aims and scope

Computational and applied mathematics along with data science play a vital role in contemporary society by driving innovation. This success can be attributed to revolutionary theoretical and algorithmic developments in machine learning, data driven modeling, differential equations, numerical analysis, scientific computing, control, optimization, and computing resources together with new tools to deal with uncertainty and randomness.

This journal encourages new research in these broad areas. In addition to research on algorithmic and analytical developments, the journal also encourages papers related to (but not limited to) broad applications in Signal and Image Processing, Computer Vision, Materials Science, Mathematical Biology and Bioengineering. As a result, the journal will be an excellent connecting bridge between mathematical research and real world applications.

The journal accepts high-quality articles containing original research results and survey articles of exceptional merit.

Meet the New Editors-in-Chief

Harbir Antil is Founder and Director at the Center for Mathematics and Artificial Intelligence as well as a Professor in the Department of Mathematical Sciences at George Mason University in Virginia, USA. His research interests include calculus of variations, inverse problems, numerical analysis, scientific computing and software development, and dimensional reduction.
Recent Publications

Xue-Cheng Tai is a professor at the Department of Mathematics at Hong Kong Baptist University. His research interests include numerical PDEs, optimization techniques, inverse problems, and image processing.
Recent Publications

Enrique Zuazua is Chair for Dynamics, Control and Numerics in the Department of Data Science at Friedric-Alexander Universität in Germany. his fields of expertise include PDEs, Control Theory, and Numerical Analysis.
Recent Publications

Click here to view the new editorial board for Advances in Continuous and Discrete Models: Theory and Applications.

Existence criteria via α–ψ-contractive mappings of φ-fractional differential nonlocal boundary value problems

Authors: Muhammad Qamar Iqbal and Azhar Hussain

Content type: Research

28 July 2021
Results on fixed circles and discs for \(L_{ (\omega,C ) }\)-contractions and related applications

Authors: Eskandar Ameer, Hassen Aydi, Muhammad Nazam and Manuel De la Sen

Content type: Research

28 July 2021
Bivariate Chebyshev polynomials of the fifth kind for variable-order time-fractional partial integro-differential equations with weakly singular kernel

Authors: Khadijeh Sadri, Kamyar Hosseini, Dumitru Baleanu, Ali Ahmadian and Soheil Salahshour

Content type: Research

28 July 2021
Numerical solutions of higher order boundary value problems via wavelet approach

Authors: Shams Ul Arifeen, Sirajul Haq, Abdul Ghafoor, Asad Ullah, Poom Kumam and Parin Chaipanya

Content type: Research

27 July 2021
Capturing of solitons collisions and reflections in nonlinear Schrödinger type equations by a conservative scheme based on MOL

Authors: Mohamed M. Mousa, Praveen Agarwal, Fahad Alsharari and Shaher Momani

Content type: Research

27 July 2021

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On some classes of difference equations of infinite order

Authors: Alexander V Vasilyev and Vladimir B Vasilyev

Content type: Research

10 July 2015
Birth, growth and computation of pi to ten trillion digits

Authors: Ravi P Agarwal, Hans Agarwal and Syamal K Sen

Content type: Research

11 April 2013
Exponential stability of fractional stochastic differential equations with distributed delay

Authors: Li Tan

Content type: Research

18 December 2014
Fractional complex transforms for fractional differential equations

Authors: Rabha W Ibrahim

Content type: Research

6 November 2012
Estimation of parameters in a structured SIR model

Authors: Begoña Cantó, Carmen Coll and Elena Sánchez

Content type: Research

27 January 2017

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Articles Collections

Thematic series
Mathematical Models of Infectious Diseases
Advances in Difference Equations
Edited by: Abdon Atangana, Muhammad Altaf Khan, Jose Francisco Gomez Aguila, Dumitru Baleanu, Emile Franc Doungmo Goufo, Abdullahi Yusuf
Collection published: Ongoing

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Thematic Series in "Advances in Difference Equations"

Fixed Point Theory and Applications to Fractional Ordinary and Partial Difference and Differential Equations
Deadline for submission: 31 August 2021

Difference Equations, Special Functions and Orthogonal Polynomials
Deadline for submission: 31 August 2021

COVID-19 and impact on peer review

As a result of the significant disruption that is being caused by the COVID-19 pandemic we are very aware that many researchers will have difficulty in meeting the timelines associated with our peer review process during normal times. Please do let us know if you need additional time. Our systems will continue to remind you of the original timelines but we intend to be highly flexible at this time.

Advances in Difference Equations

Announcement: "Advances in Difference Equations" to become "Advances in Continuous and Discrete Models"

Aims and scope

Meet the New Editors-in-Chief

Articles

Existence criteria via α–ψ-contractive mappings of φ-fractional differential nonlocal boundary value problems

Results on fixed circles and discs for \(L_{ (\omega,C ) }\)-contractions and related applications

Bivariate Chebyshev polynomials of the fifth kind for variable-order time-fractional partial integro-differential equations with weakly singular kernel

Numerical solutions of higher order boundary value problems via wavelet approach

Capturing of solitons collisions and reflections in nonlinear Schrödinger type equations by a conservative scheme based on MOL

On some classes of difference equations of infinite order

Birth, growth and computation of pi to ten trillion digits

Exponential stability of fractional stochastic differential equations with distributed delay

Fractional complex transforms for fractional differential equations

Estimation of parameters in a structured SIR model

Articles Collections

Thematic Series in "Advances in Difference Equations"

COVID-19 and impact on peer review

Annual Journal Metrics

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