Application of Homotopy Perturbation Method to solve a nonlinear Singular Cauchy Problem of Euler-Poisson-Darboux Equation
عنوان مقاله: Application of Homotopy Perturbation Method to solve a nonlinear Singular Cauchy Problem of Euler-Poisson-Darboux Equation
شناسه ملی مقاله: ICNMO01_298
منتشر شده در کنفرانس بین المللی مدل سازی غیر خطی و بهینه سازی در سال 1391
شناسه ملی مقاله: ICNMO01_298
منتشر شده در کنفرانس بین المللی مدل سازی غیر خطی و بهینه سازی در سال 1391
مشخصات نویسندگان مقاله:
A Nikkar - Department of Civil Engineering, Shomal University, Amol, Iran, P. O. Box ۷۵۳
M Mighani - Department of Architectural Engineering, Shomal University, Amol, Iran, P. O. Box ۷۵۳
Z. Khaneshi - Department of Computer Engineering, Islamic Azad University, South Tehran Branch, Tehran, Iran
خلاصه مقاله:
A Nikkar - Department of Civil Engineering, Shomal University, Amol, Iran, P. O. Box ۷۵۳
M Mighani - Department of Architectural Engineering, Shomal University, Amol, Iran, P. O. Box ۷۵۳
Z. Khaneshi - Department of Computer Engineering, Islamic Azad University, South Tehran Branch, Tehran, Iran
In this paper, we have applied He’s homotopy perturbation method (HPM) to solve a nonlinear Singular Cauchy Problem of Euler-Poisson-Darboux Equation. Thesolution of the problem is much simplified and shorter to arriving at the solution as compared to the technique applied by Carroll and Showalter in the solution of Singular Cauchy Problem. The results are compared with those obtained HPM and Runge–Kutta method. The results homotopy perturbation method (HPM) are of high concentration and the method is very effective and succinct
کلمات کلیدی: homotopy perturbation method (HPM); Singular Cauchy problem; partial differential equations
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/187889/