四阶齐次抛物型偏微分方程的非多项式三次样条法数值解

Bilal Ahmad, Anjum Perviz, M. O. Ahmad, F. Dayan
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引用次数: 2

摘要

在工程、计算机科学和自然科学领域,一种用于解决偏微分方程和偏微分方程问题的创新技术被广泛应用。有许多问题没有精确解或稳定收敛的精确解不多,为了解决这类问题,可以采用不同的近似、迭代等方法。本文所提出的方法就是其中的一种,并将其应用于不同维数的齐次抛物型偏微分方程,所得结果将与精确解和另一种现有方法进行表格和图形的比较。利用MATHEMATICA软件进行了图形和数学计算。版权(c)作者
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Numerical Solution with Non-Polynomial Cubic Spline Technique of Order Four Homogeneous Parabolic Partial Differential Equations
An innovative technique of NPCS are being used in engineering, computer sciences and natural sciences field to solve PDEs and ODEs Problems. There are many problems not having exact solution or not much stable and convergent exact solution, to solve such problem one apply different approximation, iterative and many other methods. The developed technique is one of them and implemented on some homogeneous parabolic PDEs of different dimensions and getting results will compare with exact solution and one other existing method, by tabular and graphically as well. Graphs and Mathematical result are found by using MATHEMATICA. Copyright(c) The Authors
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