Results 21 to 30 of about 2,746 (252)
Formal P-Gevrey Series Solutions of First-Order Holomorphic PDEs
, 2022 We provide a complete and self-contained proof of the Gevrey character, in an analytic function $P$, of formal power series solutions of some families of first order holomorphic PDEs. Our approach is based on a majorant series technique by applying Nagumo norms joint with a division algorithm.
Carrillo, Sergio A., Hurtado, Carlos A.
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Estimates in the Taylor series method for polynomial total systems of PDEs [PDF]
, 2021 Many of total systems of PDEs can be reduced to the polynomial form. As was shown by various authors, one of the best methods for the numerical solution of the initial value problem for ODE systems is the Taylor Series Method (TSM). In the article, the
Pototskaya, Irina Yu. +2 more
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Triviality of the 2D stochastic Allen-Cahn equation [PDF]
, 2012 We consider the stochastic Allen-Cahn equation driven by mollified space-time white noise. We show that, as the mollifier is removed, the solutions converge weakly to 0, independently of the initial condition.
H. Weber +8 more
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On Critical Behaviour in Systems of Hamiltonian Partial Differential Equations [PDF]
, 2015 We study the critical behaviour of solutions to weakly dispersive Hamiltonian systems considered as perturbations of elliptic and hyperbolic systems of hydrodynamic type with two components.
Klein, Christian +13 more
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Portopulmonary hypertension practice patterns after liver transplantation
Liver Transplantation, EarlyView., 2022 Abstract Portopulmonary hypertension (POPH) is a type of pulmonary arterial hypertension occurring exclusively in those with portal hypertensive liver disease. Liver transplantation (LT) can significantly improve outcomes. Current guidelines counsel against immediate adjustments to targeted therapy after LT and suggest routine echocardiography as ...
Arun Jose +3 more
wiley +1 more source
Effective Method for Solving Different Types of Nonlinear Fractional Burgers’ Equations
Mathematics, 2020 In this study, a relatively new method to solve partial differential equations (PDEs) called the fractional reduced differential transform method (FRDTM) is used. The implementation of the method is based on an iterative scheme in series form.
Safyan Mukhtar +3 more
doaj +1 more source
Alexandria Engineering Journal, 2021 The purpose of this article is to extend the fractional third order dispersive PDE under singular and non-singular fractional operators via the notion of fuzziness.
Shabir Ahmad +3 more
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, 2023 Summary: In this paper, we introduce three types of generalized special functions: beta, Gauss hypergeometric, and confluent hypergeometric, all involving two generalized M-series at their kernels. We then give several properties of these functions, such as integral representations, functional relations, summation relations, derivative formulas ...
Ata, Enes, Kıymaz, İsmail Onur
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Simulation Capabilities for Challenging Medical Imaging and Treatment Planning Problems [PDF]
, 2011 Advanced numerical solvers and associated simulation tools, such as, for example, numerical algorithms based on novel spectral methods, efficient time-stepping and domain meshing techniques for solution of Partial Differential Equations (PDEs ...
Beni, Catherine Elizabeth
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Fractal and Fractional, 2021 The present investigation dealing with a hybrid technique coupled with a new iterative transform method, namely the iterative Elzaki transform method (IETM), is employed to solve the nonlinear fractional Fisher’s model.
Saima Rashid +4 more
doaj +1 more source