This paper mainly presents Euler method and fourth-order Runge Kutta Method (RK4) for solving initial value problems (IVP) for ordinary differential equations (ODE). The two proposed methods are quite ...
ABSTRACT: In this paper, a hybrid method is introduced briefly to predict the behavior of the non-linear partial differential equations. The method is hybrid in the sense that different numerical ...
Abstract: We present a transform method for solving initial-boundary-value problems (IBVPs) for linear semidiscrete (differential-difference) and fully discrete (difference-difference) evolution ...
Abstract: Over the years, analysis of Singularly Boundary Value Problems have been achieved by applying various methods and or techniques. Fundamental issues have been on the existence and uniqueness ...
PyTorch Implementation to solve Differential Equations using Neural networks. The repository contains the code and results for the PyTorch Implementation of the paper titled Artificial Neural Networks ...
Annals of Mathematics, Vol. 40, No. 4 (Oct., 1939), pp. 862-891 (30 pages) ...
SIAM Journal on Applied Mathematics, Vol. 22, No. 4 (Jun., 1972), pp. 629-647 (19 pages) The two-time perturbation procedure is applied to a class of inhomogeneous initial boundary value problems for ...
Boundary value problems for nonlinear partial differential equations form a cornerstone of modern mathematical analysis, bridging theoretical advancements and practical real-world applications. These ...
Sometimes, it’s easy for a computer to predict the future. Simple phenomena, such as how sap flows down a tree trunk, are straightforward and can be captured in a few lines of code using what ...
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