This paper is concerned with a local method for the solution of one-dimensional parabolic equation with nonlocal boundary\nconditions. The method uses a coordinate transformation. After the coordinate transformation, it is then possible to obtain exact\nsolutions for the resulting equations in terms of the local variables. These exact solutions are in terms of constants of integration that\nare unknown. By imposing the given boundary conditions and smoothness requirements for the solution, it is possible to furnish\na set of linearly independent conditions that can be used to solve for the constants of integration. A number of examples are used\nto study the applicability of the method. In particular, three nonlinear problems are used to show the novelty of the method.
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