On simplification system of partial differential equations with variable by Donatas Jurgaitis

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Application of the Natural Decomposition Method to Strongly Coupled Partial Differential Equations: The Gray-Scott Model. by Nsingwire, Godwin

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Unfixed Bias Iterator: A New Iterative Format by Zeqing Zhang, Xue Wang, Jiamin Shen, Man Zhang, Sen Yang, Fanchang Yang, Wei Zhao, Jia Wang

Subjects: “…Partial differential equations…”
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Local estimates for functionals rotationally invariant with respect to the gradient by Telma João Santos

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On the Schrödinger-parabolic equation with multipoint nonlocal boundary condition by Yıldırım Özdemir

Subjects: “…partial differential equation…”
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Application of modified extended direct algebraic method to nonlinear fractional diffusion reaction equation with cubic nonlinearity by Muhammad Bilal, Alamgir Khan, Ikram Ullah, Hasib Khan, Jehad Alzabut, Hisham Mohammad Alkhawar

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Spatio-temporal modelling of extreme low birth rates in U.S. counties by Kai Wang, Yingqing Zhang, Long Bai, Ying Chen, Chengxiu Ling

Subjects: “…Stochastic partial differential equation (SPDE)…”
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Nonlinear vibration analysis of cantilever beams: Analytical, numerical and experimental perspectives by Qamar Abbas, Rab Nawaz, Haseeb Yaqoob, Hafiz Muhammad Ali, Muhammad Musaddiq Jamil

“…Partial Differential Equations in Applied Mathematics…”
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Analysis of blood flow features in the curved artery in the presence of differently shaped hybrid nanoparticles by K.N. Asha, Neetu Srivastava

“…Partial Differential Equations in Applied Mathematics…”
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Modeling the flow of casson nanofluid on a stretching sheet with heat transfer: A study of electric MHD and Darcy-Forchheimer effects by Hamzeh Taha Alkasasbeh

“…Partial Differential Equations in Applied Mathematics…”
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A computational time integrator for heat and mass transfer modeling of boundary layer flow using fuzzy parameters by Muhammad Shoaib Arif, Wasfi Shatanawi, Yasir Nawaz

“…Partial Differential Equations in Applied Mathematics…”
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A new finite difference algorithm for boundary value problems involving transmission conditions by Semih Çavuşoğlu, Oktay Sh. Mukhtarov

“…The finite difference method (FDM) is used to find an approximate solution to ordinary and partial differential equations of various type using finite difference equations to approximate derivatives. …”
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Some new existence results of positive solutions for anisotropic variable exponent operator by Rafik Guefaifia, Salah Boulaaras, Rashid Jan

“…By deriving new existence results, the study advances the understanding of nonlinear partial differential equations in anisotropic and variable exponent settings. …”
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Solving arbitrary one-loop reduction via generating function by Tingfei Li, Yuekai Song, Liang Zhang

“…We first establish the partial differential equations governing the higher-pole generating function. …”
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Douglas' Factorization Theorem and Atomic System in Hilbert Pro-$C^{\ast}$-Modules by Mohamed Rossafi, Roumaissae Eljazzar, Ram Mohapatra

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New super and shock like solitary structures for KdV equation with higher-order nonlinearity by H.S. Alayachi, Abdulghani Alharbi, E.K. El-Shewy, Mahmoud A.E. Abdelrahman

“…The modified F-expansion approach is an effective, powerful and straightforward method for obtaining the solitary wave solutions to the nonlinear partial differential equations (NPDEs). The effect of model parameters on the nature, properties and structures of the model solutions have been examined. …”
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Analysis of the non-linear higher dimensional fractional differential equations arising in dusty plasma using the Atangana–Baleanu fractional derivative by Attiya Nazneen, Rashid Nawaz, Laiq Zada, Nasir Ali, Mohamed Benghanem, Hijaz Ahmad

“…The method has been successfully applied to the higher dimension fractional order Partial differential equations and some fruitful results have been achieved. …”
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New exact soliton wave solutions appear in optical fibers with Sardar sub equation and new auxiliary equation techniques by Umair Asghar, Muhammad Imran Asjad, Yasser Salah Hamed, Ali Akgul, Murad Khan Hassani

“…These methods are applied to derive a wide range of soliton solutions for nonlinear partial differential equations. By transforming the original partial differential equation into an ordinary differential equation using an appropriate transformation, various types of solitary wave solutions are obtained. …”
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Stochastic Diffusive Modeling of CO₂ Emissions with Population and Energy Dynamics by Muhammad Shoaib Arif, Kamaleldin Abodayeh, Hisham M. Al-Khawar, Yasir Nawaz

“…A novel numerical scheme, an extension of the Euler-Maruyama algorithm, is proposed to solve stochastic time-dependent partial differential equations governing the model. The scheme's consistency and stability are rigorously analyzed in the mean square sense. …”
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Computational analysis of bioconvective MHD hybrid nanofluid flow of non-Newtonian fluid over cone/plate: A study based on the Cattaneo-Christov heat and mass flux model by P. Francis, P. Sambath, S. Noeiaghdam, U. Fernandez-Gamiz, S. Dinarvand

“…A similarity transformation is used to simplify the complex partial differential equations into ordinary differential equations, which are then solved using the Keller Box finite difference method. …”
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