I think both are same concept.

Shell programming is wrong terminology. Its shell scripting.

There is difference between scripting and programming. Unix 
is shell scripting.

The term "Shell programming" is not true. "Shell scripting"
is the term which is a collection of command to do a
specific task. The "shell" act as a "Interpreter". When we
execute a shell script, a temporary shell is created and the
interpreter interprete and execute one line at a time. if
any error in the line then it exit from that line. No next
line will be read.

Getting error and jump to next line is happen in case of
"Compiler".

shell script is only using the multiple commands in one 
sctipt.  But shell programing is we are using commands and 
logic in one script.  Otherwise there is no any difference 
in between.  It is just for our identification alone.  

Exameple:-  C or C++ in these languages we can use only 
logic  But we can't not use commands.