15 papers · ranked by Valyu relevance
Lahoucine Tadoummant, Hammad Khalil, Rachid Echarggaoui, Sarah Aljohani + 2 more
The aim of this paper is to investigate the solution of fractional-order partial differential equations and their coupled systems. A novel method is proposed, which effectively handles these problems under two-point non-local boundary conditions. The method is based on shifted Legendre polynomials, and some new…
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…
Mamta Kapoor, Varun Joshi
The two hybrid algorithms Sumudu HPM and Elzaki HPM are used in the current study to tackle coupled Burgers' equations and produce accurate results. To demonstrate the validity of the given approaches, three instances are used. Applying Sumudu HPM and Elzaki HPM yields the same approximate and exact answers in all of…
Jinxing Liu, Muhammad Nadeem, M. S. Osman, Yahya Alsayaad
Many scientific phenomena are linked to wave problems. This paper presents an effective and suitable technique for generating approximation solutions to multi-dimensional problems associated with wave propagation. We adopt a new iterative strategy to reduce the numerical work with minimum time efficiency compared to…
Abdul Ghafoor, Sirajul Haq, Manzoor Hussain, Thabet Abdeljawad + 2 more
'Manar A. Alqudah' 'António M. Lopes'] In this work, an efficient and robust numerical scheme is proposed to solve the variable coefficients’ fourth-order partial differential equations (FOPDEs) that arise in Euler-Bernoulli beam models. When partial differential equations (PDEs) are of higher order and invoke variable…
Aklilu Fufa Oljira, Mesfin Mekuria Woldaregay
Objectives In this paper, a uniformly convergent numerical scheme is proposed for solving a singularly perturbed Fredholm integro-differential equation with an integral initial condition. The equation involves a left boundary layer which makes it difficult to solve it using the standard numerical methods. A fitted…
Saima Bibi, Syeda Tehmina Ejaz
In numerical methods, fine mesh sizes are often necessary to obtain highly accurate solutions of the differential equations and this increases the memory consumption and decreases the efficiency of the calculation. This paper presents a subdivision collocation algorithm of time-fractional advection diffusion equation…
Safia Malik, Syeda Tehmina Ejaz, Ali Akgül, Murad Khan Hassani
The current research presents a novel technique for numerically solving the one-dimensional advection-diffusion equation. This approach utilizes subdivision scheme based collocation method to interpolate the space dimension along with the finite difference method for the time derivative. The proposed technique is…
Ahmad Golbabai, Nima Safaei, Mahboubeh Molavi-Arabshahi, António Lopes + 2 more
'António Lopes' 'Alexandra M.S.F. Galhano' 'Carlo Cattani'] This paper introduces a direct method derived from the global radial basis function (RBF) interpolation over arbitrary collocation nodes occurring in variational problems involving functionals that depend on functions of a number of independent variables. This…
Amir Hossein Salehi Shayegan
In this work, we present a solution to the critical limitation of qubit capacity in near-term quantum hardware by giving a hybrid framework that integrates the spectral element method (SEM) with distributed quantum computing. Using domain decomposition techniques, the additive and multiplicative Schwarz methods, the…
Muhammad Nadeem, Chen Yilin, Devendra Kumar, Yahya Alsayyad + 1 more
'Sara Abdelsalam'] This work aims to investigate the analytical solution of a two-dimensional fuzzy fractional-ordered heat equation that includes an external diffusion source factor. We develop the Sawi homotopy perturbation transform scheme (SHPTS) by merging the Sawi transform and the homotopy perturbation scheme.…
Noor Jamal, Muhammad Sarwar, Parveen Agarwal, Nabil Mlaiki + 1 more
'Ahmad Aloqaily'] In this article, we present an algorithm for computing analytical solutions of linear fuzzy advection-diffusion equations and one-dimensional fuzzy heat equations involving an external source. The fuzzy problems can be solved by using the natural transform and Adomian decomposition method. The results…
Tahir Shahzad, Muhammad Ozair Ahmed, Muhammad Zafarullah Baber, Nauman Ahmed + 2 more
'Nauman Ahmed' 'Ali Akgül' 'Sayed M. El Din'] In this study, the Sobolev-type equation is considered analytically to investigate the solitary wave solutions. The Sobolev-type equations are found in a broad range of fields, such as ecology, fluid dynamics, soil mechanics, and thermodynamics. There are two novel…
Karolína Benková, John W. Pearson, Mariya Ptashnyk
In this paper, we consider effective discretization strategies and iterative solvers for nonlinear PDE-constrained optimization models of pattern evolution within biological processes. Upon a Sequential Quadratic Programming linearization of the optimization problem, we devise appropriate time-stepping schemes and…
Cesar A. Gómez S.
This work investigates the following generalization of the Fokas-Lenells equation. ıq*t+A(t)q**xx+B(t)q**xt+C(t)|q|2q+ıD(t)|q|2q**x=ı[H(t)q**x+F(t)(|q|2q)x+G(t)(|q|2)x**q] which is a Schr $o¨$dinger-type equation with applications in theory of communications. Here, the coefficients are variables and depend on the…