Two Efficient Methods For Solving Non-linear Fourth-Order PDEs

	Two Efficient Methods For Solving Non-linear Fourth-Order PDEs
International Journal of Nonlinear Analysis and Applications
دوره 11، Special Issue، بهمن 2020، صفحه 543-546 اصل مقاله (96.98 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2020.4751
نویسنده
Huda Omran Altaie^*
University of Baghdad, Department of Mathematics College of Education For Pure Sciences, Ibn Al-Haitham, Iraq
تاریخ دریافت: 26 بهمن 1398، تاریخ بازنگری: 27 مرداد 1399، تاریخ پذیرش: 23 شهریور 1399
چکیده
This paper studies a novel technique based on the use of two effective methods like modified Laplace- variational method (MLVIM) and a new Variational method (MVIM)to solve PDEs with variable coefficients. The current modification for the (MLVIM) is based on coupling of the Variational method (VIM) and Laplace- method (LT). In our proposal there is no need to calculate Lagrange multiplier. We applied Laplace method to the problem .Furthermore, the nonlinear terms for this problem is solved using homotopy method (HPM). Some examples are taken to compare results between two methods and to verify the reliability of our present methods.
کلیدواژه‌ها
Homotopy method؛ He’s polynomials؛ PDEs؛ Laplace-Variational iteration method؛ Lagrange multipliers. Introduction

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