Search · four archives
Search · four archives
14 papers · ranked by Valyu relevance
Brahim Benhammouda, Hector Vazquez-Leal
This work presents an analytical solution of some nonlinear delay differential equations (DDEs) with variable delays. Such DDEs are difficult to treat numerically and cannot be solved by existing general purpose codes. A new method of steps combined with the differential transform method (DTM) is proposed as a powerful…
Brahim Benhammouda
The solution of higher-index Hessenberg differential-algebraic equations (DAEs) is of great importance since this type of DAEs often arises in applications. Higher-index DAEs are known to be numerically and analytically difficult to solve. In this paper, we present a new analytical method for the solution of two…
Timilehin Kingsley Akinfe, Adedapo Chris Loyinmi
In this research, an unrivalled hybrid scheme which involves the coupling of the new Elzaki integral transform (an improved version of Laplace transform) and a modified differential transform called the projected differential transform (PDTM) have been implemented to solve the generalized Burgers-Fisher's equation…
Lie-jun Xie, Cai-lian Zhou, Song Xu
In this work, an effective numerical method is developed to solve a class of singular boundary value problems arising in various physical models by using the improved differential transform method (IDTM). The IDTM applies the Adomian polynomials to handle the differential transforms of the nonlinearities arising in the…
Jamshad Ahmad, Syed Tauseef Mohyud-Din, Enrique Hernandez-Lemus
In this paper, a fractional complex transform (FCT) is used to convert the given fractional partial differential equations (FPDEs) into corresponding partial differential equations (PDEs) and subsequently Reduced Differential Transform Method (RDTM) is applied on the transformed system of linear and nonlinear…
Salah Abuasad, Ahmet Yildirim, Ishak Hashim, Samsul Ariffin Abdul Karim + 1 more
'Samsul Ariffin Abdul Karim' 'J.F. Gómez-Aguilar'] In this paper, we applied a fractional multi-step differential transformed method, which is a generalization of the multi-step differential transformed method, to find approximate solutions to one of the most important epidemiology and mathematical ecology, fractional…
Edyta Hetmaniok, Mariusz Pleszczyński, Yasir Khan, Carles Gomez
Recently, a lot of attention has been paid to the field of research connected with the wireless sensor network and industrial internet of things. The solutions found by theorists are next used in practice in such area as smart industries, smart devices, smart home, smart transportation and the like. Therefore, there is…
Nikolay K. Vitanov, Zlatinka I. Dimitrova, Kaloyan N. Vitanov
The goal of this article is to discuss the Simple Equations Method (SEsM) for obtaining exact solutions of nonlinear partial differential equations and to show that several well-known methods for obtaining exact solutions of such equations are connected to SEsM. In more detail, we show that the Hirota method is…
Nabil Mlaiki, Noor Jamal, Muhammad Sarwar, Manel Hleili + 2 more
'Khursheed J. Ansari' 'Naeem Saleem'] Integral transforms are used in many research articles in the literature, due to their interesting applications in the solutions of problems of applied science and engineering. In many situations, researchers feel difficulties in applying a given transform to solve differential or…
Rajendra Pant, Geeta Arora, Homan Emadifar, Luan Carlos de Sena Monteiro Ozelim
The time-fractional order differential equations are used in many different contexts to analyse the integrated scientific phenomenon. Hence these equations are the point of interest of the researchers. In this work, the diffusion equation for a one-dimensional time-fractional order is solved using a combination of…
Uriel Filobello-Nino, Hector Vazquez-Leal, Brahim Benhammouda, Luis Hernandez-Martinez + 8 more
'Luis Hernandez-Martinez' 'Claudio Hoyos-Reyes' 'Jose Antonio Agustin Perez-Sesma' 'Victor Manuel Jimenez-Fernandez' 'Domitilo Pereyra-Diaz' 'Antonio Marin-Hernandez' 'Alejandro Diaz-Sanchez' 'Jesus Huerta-Chua' 'Juan Cervantes-Perez'] This article proposes non-linearities distribution Laplace transform-homotopy…
Uriel Filobello-Nino, Hector Vazquez-Leal, Juan Cervantes-Perez, Brahim Benhammouda + 7 more
'Brahim Benhammouda' 'Agustin Perez-Sesma' 'Luis Hernandez-Martinez' 'Victor Manuel Jimenez-Fernandez' 'Agustin Leobardo Herrera-May' 'Domitilo Pereyra-Diaz' 'Antonio Marin-Hernandez' 'Jesus Huerta Chua'] This article proposes Laplace Transform Homotopy Perturbation Method (LT-HPM) to find an approximate solution for…
Abdon Atangana
The goal of this paper is to examine the possible extension of the singular perturbation differential equation to the concept of fractional order derivative. To achieve this, we presented a review of the concept of fractional calculus. We make use of the Laplace transform operator to derive exact solution of singular…
Miguel Vivas-Cortez, Beenish Rani, Nauman Raza, Ghada Ali Basendwah + 2 more
'Mudassar Imran' 'Muhammad Mubashir Bhatti'] This research paper focuses on the study of the (3+1)-dimensional negative order KdV-Calogero-Bogoyavlenskii-Schiff (KdV-CBS) equation, an important nonlinear partial differential equation in oceanography. The primary objective is to explore various solution techniques and…