In the light of the complex, high-level and non-linear feature of the mathematical model which describe the transport of the coalbed methane, this paper study the fully-implicit solving method of the mathematical model in detail. Based on the complexity of the algebraic equations which are formed eventually, according to the alternating direction implicit difference pattern, this paper use the iterative method and the fully main element Gauss-Jordan eliminating method to solve equations, which is to use the iterative method to determine coefficient matrix and use the fully main element Gauss-Jordan method to solve th linear algebraic equation group, at the same time of studying the solving method of the mathematical model, according to the devising requirement of FORTRAN77 program structure, this paper draw up computer program and form the corresponding computer model, and verify the validity and reliability of the model in theory by operating the model.

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In this paper we introduce a finite element program design method for solving 3 D thoracic electrical field distribution,based on Borland C++ for DOS and using isoparametric element of arbitrary hexahedron.In the process of solving final finite element equation,this paper uses the method of blocking and 'getting big number' to deal with total coefficient matrix and boundary conditions.

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Second, according to model characteristic, such as non-linear, non-convex, multiple-peaked and so on, the paper discusses limitation of traditional solving algorithm, such as branch and bound method, GBD method and OA method, puts forward penalty function-makeup integer algorithm and genetic algorithm, analyses procedures of genetic algorithm, such as selection, crossover and mutation, brings forward modifications for specific realized problems of genetic algorithm, such as selection of initial points, operator design, adoptive value adjustment, constraint treatment and so on, and works out correlated solving program.

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For raising the precision of solving infiltration in unsaturated soil, by reviewing advantage, and disadvages of existing methods, based on the transformation of Richards equation, a finite calculus of differences by advancing front self-adaptive grid for solving infiltration in unsaturated soil is built.

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We point that the process of function-tree solving is the process of Function-Sets solving, and a function solving method based on extend functional matrix is proposed. Furthermore, aiming at the characters of innovational design, the lossless optimization method is given.

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The Advantages of MATLAB for Technical Programming MATLAB has many advantage compared to conventional computer languages for technical problem solving.Among them are: 1 ease of use MATLAB is an interpreted language,like naby versions of Basic.Like Basic.Like basic,it is very easy to use.The program can be used as a scratch pad to evaluate expressions typed at the command,or it can be used to execute large prewritten programs.Programs may be casily written and modified with the built-in integrated development environment,and debugged eith the MATLAB debugger .

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In this paper,we mainly give some examples to demonstrate its applications in proving inequality,solving triangle,solving the most value and solving the equation and so on.

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Adopting speech record analysis by making a sound while thinking ,aiming at Organic Chemistry test questions and doing a lot of individual case analysis, The author summarizes the successful problem-solving thinking strategy for outstanding students of Organic Chemistry questions then edites the successful problem-solving thinking strategy for outstanding students as a teaching plan and trains consciously the students in the experiment team adhibiting the problem-solving thinking strategy for Organic Chemistry in the usual teaching practice activities to find out the characteristics of students" problem-solving thinking activity in Organic Chemistry and to improve the students" ability of problem-solving in Organic Chemistry rapidly.

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However, no age differences were found in score of efficiency of practical problem solving;(3) The educational level had obviousinfluence on N and H scores,(4) The percentage in using strategy for guessing thepicture and how many bines could the aim pictures be reached had very significant age differences;(5) The N score of problem solving of prachcal life was correlated with using strategy for guessing pictures and how many bines could the aim picture be reached;(6) The results suggested, age differences on problem solving in practical life was smaller than in the laboratory.

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