Results 41 to 50 of about 43,948 (194)

A comparison study of two modified analytical approach for the solution of nonlinear fractional shallow water equations in fluid flow

AIMS Mathematics, 2020
In this study, a comparison between the modified homotopy analysis transform method (MHATM) and residual power series method (RPSM) have been given for solving time-fractional coupled shallow water equations (SWEs). The time-fractional coupled SWEs are a
Sunil Kumar, Amit Kumar, Zaid Odibat, Mujahed Aldhaifallah, Kottakkaran Sooppy Nisar   +4 more
doaj   +1 more source

A Novel Numerical Technique for Fractional Ordinary Differential Equations with Proportional Delay

Journal of Function Spaces, 2022
Some researchers have combined two powerful techniques to establish a new method for solving fractional-order differential equations. In this study, we used a new combined technique, known as the Elzaki residual power series method (ERPSM), to offer ...
Muhammad Imran Liaqat, Adnan Khan, Ali Akgül, Md. Shajib Ali   +3 more
doaj   +1 more source

Ionic–Bionic Interfaces: Advancing Iontronic Strategies for Bioelectronic Sensing and Therapy

Advanced Science, EarlyView.
Ionic–bionic interfaces for bioelectronics leverage ions as multifunctional mediators that combine mechanical compliance, ionic and electronic functionalities, and therapeutic effects. These systems offer real‐time biosignal transduction, effective wound dressing, responsive drug delivery, and seamless interaction between soft tissues and electronic ...
Yun Goo Ro, Yoojin Chang, Jeeyoon Kim, Seungjae Lee, Sangyun Na, Cheolhong Park, Hyunhyub Ko   +6 more
wiley   +1 more source

Complex Exponential Method for Solving Partial Differential Equations

Engineering Transactions
For constant-coefficient linear partial differential equations solvable by separation of variables, an alternative solution method is proposed. The method employs complex exponential functions to find exact analytical solutions.
Mehmet PAKDEMIRLI
doaj   +1 more source

Hybrid Nanofluid Flow over a Permeable Shrinking Sheet Embedded in a Porous Medium with Radiation and Slip Impacts

Mathematics, 2021
The study of hybrid nanofluid and its thermophysical properties is emerging since the early of 2000s and the purpose of this paper is to investigate the flow of hybrid nanofluid over a permeable Darcy porous medium with slip, radiation and shrinking ...
Shahirah Abu Bakar, Norihan Md Arifin, Najiyah Safwa Khashi’ie, Norfifah Bachok   +3 more
doaj   +1 more source

Mappings preserving locations of movable poles: a new extension of the truncation method to ordinary differential equations

, 1998
The truncation method is a collective name for techniques that arise from truncating a Laurent series expansion (with leading term) of generic solutions of nonlinear partial differential equations (PDEs).
Ablowitz M J, Ablowitz M J, Ablowitz M J, Andrew Pickering, Bassom A, Clarkson P A, Conte R, Estévez P G, Estévez P G, Gambier B, Gibbon J D, Gordoa P R, Gordoa P R, Ince E L, Joshi N, Joshi N, Joshi N, Joshi N, Kruskal M D, Kruskal M D, Musette M, Nalini Joshi, Pilar R Gordoa, Weiss J, Weiss J   +24 more
core   +2 more sources

miR‐135a‐5p Is a Promising Target to Prevent the Glomerulosclerosis Associated with Podocyte Developmental Toxicity in Offspring Induced by Prenatal Dexamethasone Exposure

Advanced Science, EarlyView.
Prenatal dexamethasone exposure (PDE) programs persistent podocyte developmental injury and adult glomerulosclerosis. Mechanistically, glucocorticoid receptor (GR) binds the miR‐135a‐5p promoter and recruits the histone acetyltransferase p300, increasing promoter histone acetylation and sustaining miR‐135a‐5p expression. Elevated miR‐135a‐5p suppresses
Xiaoqi Zhao, Haiyun Chen, Yanan Zhu, Zhiping Xia, Hangyuan He, Yutang Liu, Tianshu Yang, Hui Wang, Ying Ao   +8 more
wiley   +1 more source

Exact and approximate solutions of the fractional dynamical system via transform techniques

Kuwait Journal of Science
This study investigates the Jaulent–Miodek system of partial differential equations (PDEs) using two powerful analytical techniques: the iteration transform method (ITM) and the residual power series transform method (RPSTM).
Maalee Almheidat, Azzh Saad Alshehry, Abdulkafi Mohammed Saeed, Musaad S. Aldhabani, Ahmad Shafee   +4 more
doaj   +1 more source

New soliton solution to the longitudinal wave equation in a magneto-electro-elastic circular rod

Results in Physics, 2018
This paper examines the effectiveness of an integration scheme which called the extended trial equation method (ETEM) in exactly solving a well-known nonlinear equation of partial differential equations (PDEs).
Aly R. Seadawy, Jalil Manafian
doaj   +1 more source

An Effective New Iterative Method to Solve Conformable Cauchy Reaction-Diffusion Equation via the Shehu Transform

Journal of Mathematics, 2022
For the first time, we establish a new procedure by using the conformable Shehu transform (CST) and an iteration method for solving fractional-order Cauchy reaction-diffusion equations (CRDEs) in the sense of conformable derivative (CD).
Shahram Rezapour, Muhammad Imran Liaqat, Sina Etemad   +2 more
doaj   +1 more source