Numerical solution of a PDE arising from prediction with expert advice by Jeff Calder, Nadejda Drenska, Drisana Mosaphir

Get full text

Developing and applying cubic spline method for the solution of boundary value problems in complex physical and engineering systems by Aasma Khalid, Inamul Haq, Akmal Rehan, M.S. Osman

Get full text

An optimized cubic B-spline algorithm for high-precision approximation of nonlinear transport phenomena by Rabia Noureen, Muhammad Kashif Iqbal, Maryam Asgir, Bandar Almohsen, Muhammad Azeem, Husam A. Neamah

“…Therefore, the proposed method may serve as a promising and efficient alternative for the numerical solution of nonlinear partial differential equations.…”
Get full text

On Generalized Proportional Fractional Order Derivatives and Darboux Problem for Partial Differential Equations by Abdellatif Ben Makhlouf, Mondher Benjemaa, Djalal Boucenna, Lassaad Mchiri, Mohamed Rhaima

Get full text

Usage of the Fuzzy Adomian Decomposition Method for Solving Some Fuzzy Fractional Partial Differential Equations by Nagwa A. Saeed, Deepak B. Pachpatte

“…In this study, we examine the numerical solutions of nonlinear fuzzy fractional partial differential equations under the Caputo derivative utilizing the technique of fuzzy Adomian decomposition. …”
Get full text

A toxin-mediated size-structured population model: Finite difference approximation and well-posedness by Qihua Huang, Hao Wang

“…Existence-uniqueness of the weak solution to the model is established and convergence of the finite difference approximation to this unique solution is proved. …”
Get full text

Numerical Solution of the Multiterm Time-Fractional Model for Heat Conductivity by Local Meshless Technique by Bander N. Almutairi, Ahmed E. Abouelregal, Bandar Bin-Mohsin, M. D. Alsulami, Phatiphat Thounthong

“…The aim of this work is concerned with the approximate numerical solutions of the three-term time-fractional Sobolev model equation using computationally attractive and reliable technique, known as a local meshless method. …”
Get full text

Numerical Simulation of a Two-Dimensional Groundwater Pollute Transport Problem Using Incompressible Steady-State Navier-Stokes Equations and Diffusion-Convection Equations by Jacob Nyende, Isaac Enyogoi, John Mango, Henry Kasumba

“…Most of the real contaminant problems are defined domains that are geometrically complex and can have different boundary conditions in different areas. Therefore, it is usually difficult to find a solution analytically, so we use the approximate method to generate an approximate function. …”
Get full text

Using the spectral meshless radial basis functions method for solving time fractional Burgers’ equation by S. Hajiollow, F. Zabihi

Get full text

Finite Integration Method with Chebyshev Expansion for Shallow Water Equations over Variable Topography by Ampol Duangpan, Ratinan Boonklurb, Lalita Apisornpanich, Phiraphat Sutthimat

“…The method transforms partial differential equations into integral equations, approximates spatial terms via Chebyshev polynomials, and uses forward differences for time discretization. …”
Get full text

FDM for Elliptic Equations with Bitsadze-Samarskii-Dirichlet Conditions by Allaberen Ashyralyev, Fatma Songul Ozesenli Tetikoglu

“…A numerical method is proposed for solving nonlocal boundary value problem for the multidimensional elliptic partial differential equation with the Bitsadze-Samarskii-Dirichlet condition. …”
Get full text

Data assimilation in 2D hyperbolic/parabolic systems using a stabilized explicit finite difference scheme run backward in time by Alfred S. Carasso

Get full text

Effective Analytical Computational Technique for Conformable Time-Fractional Nonlinear Gardner Equation and Cahn-Hilliard Equations of Fourth and Sixth Order Emerging in Dispersive... by Mohammed Al-Smadi, Shrideh Al-Omari, Yeliz Karaca, Shaher Momani

“…Growing and decaying modes of the fractional parameters are analyzed for several α values. From a numerical viewpoint, the simulations and results declare that the proposed iterative algorithm is indeed straightforward and appropriate with efficiency for long-wavelength solutions of nonlinear partial differential equations.…”
Get full text

Simultaneous Method for Solving Certain Systems of Matrix Equations with Two Unknowns by Predrag S. Stanimirović, Miroslav Ćirić, Spyridon D. Mourtas, Gradimir V. Milovanović, Milena J. Petrović

“…More precisely, we apply a simultaneous approach in solving the corresponding systems of matrix-vector equations with two unknowns. Zeroing neural network (ZNN) neuro-dynamical systems for approximating solutions of heterotypic bisimulations are proposed. …”
Get full text

Data-driven modeling of the Yld2000 yield criterion and its efficient application in numerical simulation by Xiaomin Zhang, Jianzhong Mao, Zhi Cheng

Get full text

On the “Tantawy Technique” and other methods for analyzing the family of fractional Burgers’ equations: Applications to plasma physics by Aljawhara H Almuqrin, CGL Tiofack, A Mohamadou, Alim Alim, Sherif ME Ismaeel, Weaam Alhejaili, Samir A El-Tantawy

“…The study provides a comprehensive analysis of the convergence and accuracy of the proposed methods through various numerical examples. All three proposed methods can effectively yield precise and rapid solutions for fractional Burgers’ type equations. …”
Get full text

Validation of Simple Equations Describing the Adsorption of Binary Gas Mixtures onto Surfaces with an Asymmetric Distribution of Adsorption Energy by Paweł Szabelski, Krzysztof Nieszporek, Mateusz Drach

“…Additionally, the results of the proposed theory were compared with exact numerical solutions obtained using the Integral Equation method. …”
Get full text

A Solution-Structure B-Spline-Based Framework for Hybrid Boundary Problems on Implicit Domains by Ammar Qarariyah, Tianhui Yang, Fang Deng

“…Solving partial differential equations (PDEs) on complex domains with hybrid boundary conditions presents significant challenges in numerical analysis. …”
Get full text

Analysis of heat and mass transfer in MHD laminar fluid flow between parallel plates of different permeability by Nityanand P. Pai, Sampath Kumar V. S., Devaki B., Pareekshith G. Bhat

“…Furthermore, an approximate analytic solution obtained by adopting the homotopy perturbation method is compared with the numerical solution obtained using the classical finite difference method. …”
Get full text

Numerical Investigation of Physical Parameters in Cardiac Vessels as a New Medical Support Science for Complex Blood Flow Characteristics by Defrianto, Toto Saktioto, Yan Soerbakti, Andika Thoibah, Bunga Meyzia, Romi Fadli Syahputra, Okfalisa, Syamsudhuha, Dedi Irawan, Haryana Hairi

“… This study proposes a mathematical approach and numerical experiment for a simple solution of cardiac blood flow to the heart's blood vessels. …”
Get full text