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A New Algorithm Based on the Homotopy Perturbation Method For a Class of Singularly Perturbed Boundary Value Problems
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نویسنده
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فریبرزی عراقی محمد علی ,حسینی سید محمد ,حیدری محمد ,صدیق بهزادی شادان
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منبع
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journal of mathematical extension - 2013 - دوره : 7 - شماره : 4 - صفحه:29 -45
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چکیده
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In this paper, a new algorithm is presented to approximatethe solution of a singularly perturbed boundary value problem with leftlayerbased on the homotopy perturbation technique and applying thelaplace transformation. the convergence theorem and the error boundof the proposed method are proved. the method is examined by solvingtwo examples. the results demonstrate the reliability and efficiency ofthe proposed method.
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کلیدواژه
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Singularly perturbed problem ,boundary value problem ,boundary layer ,homotopy perturbation method (HPM) ,Laplace transformation ,convergence
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آدرس
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Islamic Azad University, Central Tehran Branch P.O.Box: 13185.768 Tehran, Iran, ایران, Islamic Azad University, Shahrekord Branch Shahrekord, Iran, ایران, Islamic Azad University, Yazd Branch Yazd, Iran, ایران, Islamic Azad University, Qazvin Branch Qazvin, Iran, ایران
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پست الکترونیکی
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shadan behzadi@yahoo.com
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Authors
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