NDSolve::nerres
NDSolveValue::nerres
ParametricNDSolve::nerres
ParametricNDSolveValue::nerres
A warning is generated because the specified value of the MaxSteps option may not be sufficient to compute a solution within the default tolerances:
NDSolve[{Derivative[2, 0][f][x, t] == Derivative[0, 2][f][x, t], f[0, t] == 0, f[1, t] == 0, Derivative[0, 1][f][x, 0] == 0, f[x, 0] == Sin[2 Pi x]}, f, {x, 0, 1}, {t, 0, 1}, MaxSteps -> {10, Automatic}]A solution is computed without difficulty if a larger value is used for the MaxSteps option:
NDSolve[{Derivative[2, 0][f][x, t] == Derivative[0, 2][f][x, t], f[0, t] == 0, f[1, t] == 0, Derivative[0, 1][f][x, 0] == 0, f[x, 0] == Sin[2 Pi x]}, f, {x, 0, 1}, {t, 0, 1}, MaxSteps -> {100, Automatic}]