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A high order generalized finite difference method for solving the anisotropic elliptic interface problem in static and moving systems

JOURNAL ARTICLE published July 2024 in Computers & Mathematics with Applications

Research funded by Science and Technology Commission of Shanghai Municipality (22JC1400900,22DZ2229014)

Authors: Yanan Xing | Haibiao Zheng

Solve third order Lane–Emden–Fowler equation by Adomian decomposition method and quartic trigonometric B-spline method

JOURNAL ARTICLE published June 2024 in Partial Differential Equations in Applied Mathematics

Authors: Khalid K. Ali | M.S. Mehanna | Abdul-Majid Wazwaz | M.A. Shaalan

A hybrid lattice Boltzmann/immersed boundary method/finite-difference model for thermal fluid-solid interactions

JOURNAL ARTICLE published June 2024 in International Communications in Heat and Mass Transfer

Research funded by Deutsche Forschungsgemeinschaft (465872891)

Authors: Farshad Gharibi | Seyed Ali Hosseini | Dominique Thévenin

A new approach for solving fractional Kundu-Eckhaus equation and fractional massive Thirring model using controlled Picard’s technique with ρ-Laplace transform

JOURNAL ARTICLE published June 2024 in Partial Differential Equations in Applied Mathematics

Authors: F.E. Abd Elbary | Khalid K. Ali | Mourad S. Semary | Mohamed S. Abdel-wahed | M.A. Elsisy

Effect of micro-/nano-porous thin film surfaces prepared by a hybrid method of etching and electrochemical deposition on pool boiling heat transfer performance

JOURNAL ARTICLE published June 2024 in Thermal Science and Engineering Progress

Authors: Sanjib Kalita | Pulak Sen | Dipak Sen | Sudev Das

A novel stochastic ten non-polynomial cubic splines method for heat equations with noise term

JOURNAL ARTICLE published June 2024 in Partial Differential Equations in Applied Mathematics

Research funded by Prince Sattam bin Abdulaziz University (PSAU/2024/R/1445)

Authors: Aisha F. Fareed | Ahmed G. Khattab | Mourad S. Semary

Magnetohydrodynamics thermosolutal convection of hybrid MWCNT-Fe3O4-water nanofluid along a vertical wavy surface with wall heat and mass flux

JOURNAL ARTICLE published June 2024 in Partial Differential Equations in Applied Mathematics

Authors: Jawad Ibn Ahad | Amzad Hossain | Afroja Parvin | Md. Mamun Molla

A Hybrid Stress Finite Element Method for Integro-Differential Equations Modelling Dynamic Fractional Order Viscoelasticity

JOURNAL ARTICLE published June 2024 in International Journal of Numerical Analysis and Modeling

Authors: Menghan Liu null | Xiaoping Xie

The bilinear neural network method for solving Benney–Luke equation

JOURNAL ARTICLE published June 2024 in Partial Differential Equations in Applied Mathematics

Authors: Nguyen Minh Tuan | Sanoe Koonprasert | Sekson Sirisubtawee | Phayung Meesad

Analytical irreversible thermodynamics in conduction-radiative heat transfer of neutral gases through a lens of thermal radiation fields

JOURNAL ARTICLE published June 2024 in Partial Differential Equations in Applied Mathematics

Authors: Taha Z. Abdel Wahid | Rashid Jan | M.K. Hadhouda | Ahmed Refaie Ali

Riccati sub-equation method for solving fractional flood wave equation and fractional plasma physics equation

JOURNAL ARTICLE published June 2024 in Partial Differential Equations in Applied Mathematics

Authors: Sirasrete Phoosree | Nattinee Khongnual | Jiraporn Sanjun | Athassawat Kammanee | Weerachai Thadee

A domain decomposing reduced-order method for solving the multi-domain transient heat conduction problems

JOURNAL ARTICLE published 9 May 2024 in Numerical Heat Transfer, Part B: Fundamentals

Authors: Yu Liang | Hua-Yu Liu | Xiao-Wei Gao

Discontinuous Galerkin finite element method for dynamic viscoelasticity models of power‐law type

JOURNAL ARTICLE published 6 May 2024 in Numerical Methods for Partial Differential Equations

Authors: Yongseok Jang | Simon Shaw

LOCAL FRACTIONAL VARIATIONAL ITERATION TRANSFORM METHOD: A TOOL FOR SOLVING LOCAL FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS

JOURNAL ARTICLE published 3 May 2024 in Fractals

Research funded by National Research Foundation of Korea (NRF-2020K1A3A1A05101625)

Authors: HOSSEIN JAFARI | HASSAN KAMIL JASSIM | ALI ANSARI | VAN THINH NGUYEN

A wavelet collocation method for fractional Black–Scholes equations by subdiffusive model

JOURNAL ARTICLE published 2 May 2024 in Numerical Methods for Partial Differential Equations

Authors: Davood Damircheli | Mohsen Razzaghi

Comparative analysis of a fractional co-infection model using nonstandard finite difference and two-step Lagrange polynomial methods

JOURNAL ARTICLE published May 2024 in Partial Differential Equations in Applied Mathematics

Authors: Anum Aish Buhader | Mujahid Abbas | Mudassar Imran | Andrew Omame

High-order bounds-satisfying approximation of partial differential equations via finite element variational inequalities

JOURNAL ARTICLE published 30 April 2024 in Numerische Mathematik

Authors: Robert C. Kirby | Daniel Shapero

Generalized log orthogonal functions spectral collocation method for two dimensional weakly singular Volterra integral equations of the second kind

JOURNAL ARTICLE published 29 April 2024 in Numerical Methods for Partial Differential Equations

Research funded by National Natural Science Foundation of China (11971047) | Beijing Municipal Natural Science Foundation (Z200002)

Authors: Qiumei Huang | Min Wang

Characterizations of Finite Order Solutions of Circular Type Partial Differential-Difference Equations in $$ mathbb {C}^n $$

JOURNAL ARTICLE published May 2024 in Complex Analysis and Operator Theory

Authors: Sanju Mandal | Molla Basir Ahamed

Layer separation of the 3D incompressible Navier–Stokes equation in a bounded domain

JOURNAL ARTICLE published 25 April 2024 in Communications in Partial Differential Equations

Authors: Alexis F. Vasseur | Jincheng Yang