Results 11 to 20 of about 30,630 (137)

Analytic Solution for Systems of Two-Dimensional Time Conformable Fractional PDEs by Using CFRDTM

International Journal of Mathematics and Mathematical Sciences, 2019
In this study we use the conformable fractional reduced differential transform (CFRDTM) method to compute solutions for systems of nonlinear conformable fractional PDEs.
Abir Chaouk, Maher Jneid
doaj   +2 more sources

Spline-PINN: Approaching PDEs without Data using Fast, Physics-Informed Hermite-Spline CNNs [PDF]

AAAI Conference on Artificial Intelligence, 2021
Partial Differential Equations (PDEs) are notoriously difficult to solve. In general, closed form solutions are not available and numerical approximation schemes are computationally expensive.
Nils Wandel, Michael Weinmann, Michael Neidlin, R. Klein   +3 more
semanticscholar   +1 more source

Semi-analytical Solutions for Breakage and Aggregation-breakage Equations via Daftardar-Jafari Method [PDF]

arXiv.org, 2023
The semi-analytical method obtains the solution for linear/nonlinear ODEs and PDEs in series form. This article presents a novel semi-analytical approach named Daftardar-Jafari method (DJM) to solve integro-partial differential equation such as breakage ...
Sanjiv Kumar Bariwal, Gourav Arora, Rajesh Kumar   +2 more
semanticscholar   +1 more source

New closed form solutions of some nonlinear pseudo-parabolic models via a new extended direct algebraic method

International Journal of Mathematics and Computer in Engineering, 2023
Our investigation delves into a specific category of nonlinear pseudo-parabolic partial differential equations (PDEs) that emerges from physical models.
A. Hussain, Hassan Ali, F. Zaman, Naseem Abbas   +3 more
semanticscholar   +1 more source

Exact solutions of (1+2)-dimensional non-linear time-space fractional PDEs

Arab Journal of Mathematical Sciences, 2022
PurposeIn this paper, the author presents a hybrid method along with its error analysis to solve (1+2)-dimensional non-linear time-space fractional partial differential equations (FPDEs).Design/methodology/approachThe proposed method is a combination of ...
M. Kumar
semanticscholar   +1 more source

Approximate and Closed-Form Solutions of Newell-Whitehead-Segel Equations via Modified Conformable Shehu Transform Decomposition Method

, 2022
In this study, we introduced a novel scheme to attain approximate and closed-form solutions of conformable Newell-Whitehead-Segel (NWS) equations, which belong to the most consequential amplitude equations in physics. The conformable Shehu transform (CST)
Muhammad Imran Liaqat, Adnan Khan, Md. Ashraful Alam, M. Pandit, S. Etemad, S. Rezapour   +5 more
semanticscholar   +1 more source

Free convection flow of second grade dusty fluid between two parallel plates using Fick’s and Fourier’s laws: a fractional model

Scientific Reports, 2022
The paper aims to investigate the channel flow of second grade visco-elastic fluid generated due to an oscillating wall. The effect of heat and mass transfer has been taken into account. The phenomenon has been modelled in terms of PDEs. The constitutive
Zahid Khan, Sami ul Haq, Farhad Ali, Mulugeta Andualem   +3 more
doaj   +1 more source

Geodesic Mappings of Spaces with Affine Connections onto Generalized Symmetric and Ricci-Symmetric Spaces

Mathematics, 2020
In the paper, we consider geodesic mappings of spaces with an affine connections onto generalized symmetric and Ricci-symmetric spaces. In particular, we studied in detail geodesic mappings of spaces with an affine connections onto 2-, 3-, and m- (Ricci-)
Volodymyr Berezovski, Yevhen Cherevko, Irena Hinterleitner, Patrik Peška   +3 more
doaj   +1 more source

Numerical Solution of Mass Transfer Process during Drying of Apple Slices Using Pseudospectral Method [PDF]

Journal of Agricultural Machinery, 2019
Introduction Convective air drying is one of the oldest and most popular drying methods. Designing and controlling the convective air drying needs the mathematical description of the moisture transfer during the drying process, known as drying kinetics ...
A Pasban, M Mohebbi, H Sadrnia, S. A Shahidi   +3 more
doaj   +1 more source

Two approximate symmetry frameworks for nonlinear partial differential equations with a small parameter: Comparisons, relations, approximate solutions

European journal of applied mathematics, 2022
The frameworks of Baikov–Gazizov–Ibragimov (BGI) and Fushchich–Shtelen (FS) approximate symmetries are used to study symmetry properties of partial differential equations with a small parameter.
Mahmood R. Tarayrah, Brian Pitzel, A. Cheviakov   +2 more
semanticscholar   +1 more source