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on the convergence of the homotopy analysis method to solve the system of partial differential equations
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نویسنده
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fallahzadeh a. ,fariborzi araghi m. a. ,fallahzadeh v.
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منبع
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journal of linear and topological algebra - 2015 - دوره : 4 - شماره : 2 - صفحه:87 -100
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چکیده
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One of the efficient and powerful schemes to solve linear and nonlinear equations is homotopy analysis method (ham). in this work, we obtain the approximate solution of a system of partial differential equations (pdes) by means of ham. for this purpose, we develop the concept of ham for a system of pdes as a matrix form. then, we prove the convergence theorem and apply the proposed method to defined the approximate solution of some systems of pdes. also, we show the region of convergence by plotting the h-surface.
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کلیدواژه
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homotopy analysis method ,system of partial differential equations ,h-surface
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آدرس
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islamic azad university, central tehran branch, department of mathematics, iran, islamic azad university, central tehran branch, department of mathematics, iran, islamic azad university, arak branch, department of mathematics, iran
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Authors
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