این سایت در حال حاضر پشتیبانی نمی شود و امکان دارد داده های نشریات بروز نباشند
International Journal of Engineering، جلد ۳۷، شماره ۲، صفحات ۳۵۲-۳۶۴
عنوان فارسی
چکیده فارسی مقاله
کلیدواژه‌های فارسی مقاله
عنوان انگلیسی A Comparative Study of Hybrid Analytical and Laplace Transform Approaches for Solving Partial Differential Equations in Python
چکیده انگلیسی مقاله This research presents a rigorous and innovative approach, the Homotopy Perturbation Method-Laplace Transform Method (HPM-LTM), implemented in Python, for the efficient solution of linear and nonlinear partial differential equations (PDEs). By combining the Homotopy Perturbation technique (HPM) with the Laplace Transform Method (LTM), our method successfully addresses the significant challenges posed by equations with nonlinear components. Through the utilization of He's polynomials, the HPM-LTM approach effectively handles nonlinear terms, resulting in accurate and reliable solutions. To demonstrate the efficacy of our method, we extensively apply it to five representative PDE scenarios, including heat and wave equations. Our comprehensive results substantiate the remarkable accuracy and reliability of the HPM-LTM approach, highlighting its superiority in comparison to conventional approaches that require restrictive assumptions or discretization, which can introduce round-off errors. Furthermore, our method overcomes the limitations imposed by numerical errors inherent in traditional HPM techniques. The robustness, effectiveness, and adaptability of our proposed approach are further validated by its successful application to a wide range of PDE problems across various fields. This research presents a significant contribution to the development of a powerful computational tool for resolving diverse PDE problems, with particular relevance to the engineering discipline.
کلیدواژه‌های انگلیسی مقاله Partial Differential Equations,Homotopy Perturbation Method,Laplace Transform Method,Python programming
نویسندگان مقاله P. Jalili |
Department of Mechanical Engineering, North Tehran Branch, Islamic Azad University, Tehran, Iran

M. Mahboob |
Department of Mechanical Engineering, Babol Noshirvani University of Technology, Babol, Iran

A. Shateri |
Department of Mechanical Engineering, North Tehran Branch, Islamic Azad University, Tehran, Iran

B. Jalili |
Department of Mechanical Engineering, North Tehran Branch, Islamic Azad University, Tehran, Iran

D. Domiri Ganji |
Department of Mechanical Engineering, Babol Noshirvani University of Technology, Babol, Iran

نشانی اینترنتی https://www.ije.ir/article_180227_6ff794eb617704e32b625feeaebc7e7e.pdf
فایل مقاله فایلی برای مقاله ذخیره نشده است
کد مقاله (doi)
زبان مقاله منتشر شده en
موضوعات مقاله منتشر شده
نوع مقاله منتشر شده
برگشت به: صفحه اول پایگاه   |   نسخه مرتبط   |   نشریه مرتبط   |   فهرست نشریات