Mathematics · Partial Differential Equations
एक आंशिक अवकल समीकरण &partial;2T&partial;x2 + &partial;2T&partial;y2 = 0 को 2m × 2m आकार के एक समतलीय वर्गाकार क्षेत्र के भीतर द्वि-आयामी क्षेत्र T(x, y) के लिए परिभाषित किया गया है। वर्गाकार क्षेत्र के तीन सीमांत किनारों पर T = 50 का मान बनाए रखा जाता है, जबकि चौथे सीमांत किनारे पर T = 100 बनाए रखा जाता है। क्षेत्र के केंद्र में T का मान है:
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