A nonstandard Cauchy problem for the heat equation
نویسندگان
چکیده
منابع مشابه
A Direct Numerical Procedure for the Cauchy Problem for the Heat Equation
For the Cauchy problem, gt = u%~, 0 < x < 1, 0 < t < T, ~(0, t) = f(t), 0 < t < T, u.(O, t) = g(t), 0 < t < T, a direct numerical procedure involving the elementary solution of vt = v,, , 0 < x, 0 < t < T, ~(0, t) = g(t), 0 < t < T, v(x, 0) = 0,O < x and a Taylor’s series computed fromf(t) ~(0, t) is studied. Continuous dependence better than any power of logarithmic is obtained. Some numerical...
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ژورنال
عنوان ژورنال: Mathematical Notes
سال: 2017
ISSN: 0001-4346,1573-8876
DOI: 10.1134/s0001434617070264